22565000 has 40 divisors (see below), whose sum is σ = 52881510. Its totient is φ = 9024000.

The previous prime is 22564991. The next prime is 22565021. The reversal of 22565000 is 56522.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1643524 + 20921476 = 1282^2 + 4574^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2744 + ... + 7256.

Almost surely, 2^22565000 is an apocalyptic number.

22565000 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 22565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440755).

22565000 is an abundant number, since it is smaller than the sum of its proper divisors (30316510).

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

22565000 is an equidigital number, since it uses as much as digits as its factorization.

22565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 22565000 is about 4750.2631506054. The cubic root of 22565000 is about 282.5824021503.

The spelling of 22565000 in words is "twenty-two million, five hundred sixty-five thousand".