Base | Representation |
---|---|
bin | 101011110010… |
… | …0100000000000 |
3 | 1121012021202102 |
4 | 1113210200000 |
5 | 21334043112 |
6 | 2140005532 |
7 | 366060131 |
oct | 127444000 |
9 | 47167672 |
10 | 22956032 |
11 | 11a5a230 |
12 | 78308a8 |
13 | 49a9a68 |
14 | 3097c88 |
15 | 2036bc2 |
hex | 15e4800 |
22956032 has 48 divisors (see below), whose sum is σ = 50122800. Its totient is φ = 10424320.
The previous prime is 22956029. The next prime is 22956041. The reversal of 22956032 is 23065922.
It is a junction number, because it is equal to n+sod(n) for n = 22955986 and 22956004.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22019 + ... + 23037.
It is an arithmetic number, because the mean of its divisors is an integer number (1044225).
Almost surely, 222956032 is an apocalyptic number.
22956032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061400).
22956032 is an abundant number, since it is smaller than the sum of its proper divisors (27166768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22956032 is a wasteful number, since it uses less digits than its factorization.
22956032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1052 (or 1032 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 29.
The square root of 22956032 is about 4791.2453495934. The cubic root of 22956032 is about 284.2053662385.
The spelling of 22956032 in words is "twenty-two million, nine hundred fifty-six thousand, thirty-two".
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