22564000 has 48 divisors (see below), whose sum is σ = 55449576. Its totient is φ = 9024000.

The previous prime is 22563997. The next prime is 22564007. The reversal of 22564000 is 46522.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 8456464 = 3756^2 + 2908^2 .

It is not an unprimeable number, because it can be changed into a prime (22564007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1180 + ... + 6820.

Almost surely, 2^22564000 is an apocalyptic number.

22564000 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 22564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27724788).

22564000 is an abundant number, since it is smaller than the sum of its proper divisors (32885576).

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

22564000 is an equidigital number, since it uses as much as digits as its factorization.

22564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 22564000 is about 4750.1578921126. The cubic root of 22564000 is about 282.5782277419.

The spelling of 22564000 in words is "twenty-two million, five hundred sixty-four thousand".