22564300 has 72 divisors (see below), whose sum is σ = 54340272. Its totient is φ = 8064000.

The previous prime is 22564279. The next prime is 22564303. The reversal of 22564300 is 346522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22564303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80160 + ... + 80440.

It is an arithmetic number, because the mean of its divisors is an integer number (754726).

Almost surely, 2^22564300 is an apocalyptic number.

22564300 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 22564300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170136).

22564300 is an abundant number, since it is smaller than the sum of its proper divisors (31775972).

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

22564300 is a wasteful number, since it uses less digits than its factorization.

22564300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 22564300 is about 4750.1894699054. The cubic root of 22564300 is about 282.5794800774.

It can be divided in two parts, 2256 and 4300, that added together give a palindrome (6556).

The spelling of 22564300 in words is "twenty-two million, five hundred sixty-four thousand, three hundred".