22568000 has 224 divisors, whose sum is σ = 71006208. Its totient is φ = 6912000.

The previous prime is 22567967. The next prime is 22568011. The reversal of 22568000 is 86522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727985 + ... + 728015.

It is an arithmetic number, because the mean of its divisors is an integer number (316992).

Almost surely, 2^22568000 is an apocalyptic number.

22568000 is a gapful number since it is divisible by the number (20) 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 22568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35503104).

22568000 is an abundant number, since it is smaller than the sum of its proper divisors (48438208).

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

22568000 is a wasteful number, since it uses less digits than its factorization.

22568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 22568000 is about 4750.5789120906. The cubic root of 22568000 is about 282.5949246356.

The spelling of 22568000 in words is "twenty-two million, five hundred sixty-eight thousand".