22570400 has 72 divisors (see below), whose sum is σ = 55894860. Its totient is φ = 8898560.

The previous prime is 22570351. The next prime is 22570409. The reversal of 22570400 is 407522.

It can be written as a sum of positive squares in 6 ways, for example, as 929296 + 21641104 = 964^2 + 4652^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22570409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71042 + ... + 71358.

Almost surely, 2^22570400 is an apocalyptic number.

22570400 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 22570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27947430).

22570400 is an abundant number, since it is smaller than the sum of its proper divisors (33324460).

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

22570400 is a wasteful number, since it uses less digits than its factorization.

22570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 22570400 is about 4750.8315061682. The cubic root of 22570400 is about 282.6049418248.

Adding to 22570400 its reverse (407522), we get a palindrome (22977922).

The spelling of 22570400 in words is "twenty-two million, five hundred seventy thousand, four hundred".