22868800 has 42 divisors (see below), whose sum is σ = 56275478. Its totient is φ = 9146880.

The previous prime is 22868779. The next prime is 22868809. The reversal of 22868800 is 886822.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 287296 + 22581504 = 536^2 + 4752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5547 + ... + 8746.

Almost surely, 2^22868800 is an apocalyptic number.

22868800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22868800 is an abundant number, since it is smaller than the sum of its proper divisors (33406678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22868800 is a wasteful number, since it uses less digits than its factorization.

22868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14315 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 22868800 is about 4782.1334151192. The cubic root of 22868800 is about 283.8449196307.

The spelling of 22868800 in words is "twenty-two million, eight hundred sixty-eight thousand, eight hundred".