22632 (number)
22,632 (twentytwo thousand six hundred thirtytwo) is an even fivedigits composite number following 22631 and preceding 22633. In scientific notation, it is written as 2.2632 × 10^{4}. The sum of its digits is 15. It has a total of 6 prime factors and 32 positive divisors. There are 7,040 positive integers (up to 22632) that are relatively prime to 22632.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 15
 Digital Root 6
Name
Short name  22 thousand 632 

Full name  twentytwo thousand six hundred thirtytwo 
Notation
Scientific notation  2.2632 × 10^{4} 

Engineering notation  22.632 × 10^{3} 
Prime Factorization of 22632
Prime Factorization 2^{3} × 3 × 23 × 41
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  5658  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 22,632 is 2^{3} × 3 × 23 × 41. Since it has a total of 6 prime factors, 22,632 is a composite number.
Divisors of 22632
32 divisors
τ(n)  Total Divisors  32  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  60480  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  37848  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1890  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  150.43935655273  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  11.974603174603  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 22,632 can be divided by 32 positive divisors (out of which 24 are even, and 8 are odd). The sum of these divisors (counting 22,632) is 60,480, the average is 1,890.
Other Arithmetic Functions (n = 22632)
φ(n)  Euler Totient  7040  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  440  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 2529  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 7,040 positive integers (less than 22,632) that are coprime with 22,632. And there are approximately 2,529 prime numbers less than or equal to 22,632.
Divisibility of 22632
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  2  0  1  0  6 
The number 22,632 is divisible by 2, 3, 4, 6 and 8.
Classification of 22632
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
By Shape (2D, noncentered)
 Pentagonal
Base conversion (22632)
Base  System  Value 

2  Binary  101100001101000 
3  Ternary  1011001020 
4  Quaternary  11201220 
5  Quinary  1211012 
6  Senary  252440 
8  Octal  54150 
10  Decimal  22632 
12  Duodecimal  11120 
16  Hexadecimal  5868 
20  Vigesimal  2gbc 
36  Base36  hgo 
Basic calculations (n = 22632)
Multiplication
n×yn×2  45264 

n×3  67896 
n×4  90528 
n×5  113160 
Division
n÷yn÷2  11316.000 

n÷3  7544.000 
n÷4  5658.000 
n÷5  4526.400 
Exponentiation
n^{y}n^{2}  512207424 

n^{3}  11592278419968 
n^{4}  262356445200715776 
n^{5}  5937651067782599442432 
Nth Root
^{y}√n^{2}√n  150.43935655273 

^{3}√n  28.286180702732 
^{4}√n  12.26537225496 
^{5}√n  7.4292433960544 
22632 as geometric shapes
Circle
Radius = nDiameter  45264 

Circumference  142201.04987209 
Area  1609147080.3526 
Sphere
Radius = nVolume  48557622296719 

Surface area  6436588321.4102 
Circumference  142201.04987209 
Square
Length = nPerimeter  90528 

Area  512207424 
Diagonal  32006.481343628 
Cube
Length = nSurface area  3073244544 

Volume  11592278419968 
Space diagonal  39199.773876899 
Equilateral Triangle
Length = nPerimeter  67896 

Area  221792320.59549 
Altitude  19599.886938449 
Triangular Pyramid
Length = nSurface area  887169282.38197 

Volume  1366163113360.3 
Height  18478.950619556 
Cryptographic Hash Functions
md5  2955b1891d2312da15ded49ea3265930 

sha1  105853f65304f358eb0e7b2b71afc0ac9c1e3b70 
sha256  296ec13ba3175de648a24b766a207fe8795e8ff9fcd9975ed01e71a41f2ca9da 
sha512  1a8bc84bf6f697c0e91f9064d686cb745740df42b0644a2df8ccfb80f780b061fdb205999b7e98eb4638f1b59b01f126609425127f6415048264b21babfdc89f 
ripemd160  61ae895c2f993bcc9e49bdd40a4fd516cf0cb16f 