22570800 has 120 divisors (see below), whose sum is σ = 82661376. Its totient is φ = 5157120.

The previous prime is 22570799. The next prime is 22570811. The reversal of 22570800 is 807522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 7057 + ... + 9743.

Almost surely, 2^22570800 is an apocalyptic number.

22570800 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 22570800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330688).

22570800 is an abundant number, since it is smaller than the sum of its proper divisors (60090576).

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

22570800 is a wasteful number, since it uses less digits than its factorization.

22570800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 22570800 is about 4750.8736038754. The cubic root of 22570800 is about 282.6066112873.

The spelling of 22570800 in words is "twenty-two million, five hundred seventy thousand, eight hundred".