22565800 has 48 divisors (see below), whose sum is σ = 55560060. Its totient is φ = 8494080.

The previous prime is 22565779. The next prime is 22565821. The reversal of 22565800 is 856522.

It is an interprime number because it is at equal distance from previous prime (22565779) and next prime (22565821).

It can be written as a sum of positive squares in 6 ways, for example, as 4435236 + 18130564 = 2106^2 + 4258^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 6718.

Almost surely, 2^22565800 is an apocalyptic number.

22565800 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 22565800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780030).

22565800 is an abundant number, since it is smaller than the sum of its proper divisors (32994260).

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

22565800 is a wasteful number, since it uses less digits than its factorization.

22565800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 22565800 is about 4750.3473557204. The cubic root of 22565800 is about 282.5857415882.

The spelling of 22565800 in words is "twenty-two million, five hundred sixty-five thousand, eight hundred".