22564512 has 72 divisors (see below), whose sum is σ = 65572416. Its totient is φ = 7357056.

The previous prime is 22564499. The next prime is 22564513. The reversal of 22564512 is 21546522.

22564512 is a `hidden beast` number, since 2 + 2 + 5 + 645 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22564513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12703 + ... + 14369.

It is an arithmetic number, because the mean of its divisors is an integer number (910728).

Almost surely, 2^22564512 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 22564512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32786208).

22564512 is an abundant number, since it is smaller than the sum of its proper divisors (43007904).

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

22564512 is a wasteful number, since it uses less digits than its factorization.

22564512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 22564512 is about 4750.2117847523. The cubic root of 22564512 is about 282.5803650544.

The spelling of 22564512 in words is "twenty-two million, five hundred sixty-four thousand, five hundred twelve".