Base | Representation |
---|---|
bin | 101011100010… |
… | …0010000100000 |
3 | 1120221120121011 |
4 | 1113010100200 |
5 | 21320331333 |
6 | 2133110304 |
7 | 365000116 |
oct | 127042040 |
9 | 46846534 |
10 | 22823968 |
11 | 11979a92 |
12 | 7788394 |
13 | 496190b |
14 | 3061ab6 |
15 | 200c9cd |
hex | 15c4420 |
22823968 has 36 divisors (see below), whose sum is σ = 46270602. Its totient is φ = 11082240.
The previous prime is 22823947. The next prime is 22823993. The reversal of 22823968 is 86932822.
It can be written as a sum of positive squares in 3 ways, for example, as 22771984 + 51984 = 4772^2 + 228^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 22823968.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43548 + ... + 44068.
Almost surely, 222823968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23135301).
22823968 is an abundant number, since it is smaller than the sum of its proper divisors (23446634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22823968 is an equidigital number, since it uses as much as digits as its factorization.
22823968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 605 (or 560 counting only the distinct ones).
The product of its digits is 82944, while the sum is 40.
The square root of 22823968 is about 4777.4436679044. The cubic root of 22823968 is about 283.6593150794.
The spelling of 22823968 in words is "twenty-two million, eight hundred twenty-three thousand, nine hundred sixty-eight".
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