22772500 has 30 divisors (see below), whose sum is σ = 49804370. Its totient is φ = 9108000.

The previous prime is 22772483. The next prime is 22772527. The reversal of 22772500 is 527722.

It can be written as a sum of positive squares in 5 ways, for example, as 13927824 + 8844676 = 3732^2 + 2974^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 2055 + ... + 7054.

Almost surely, 2^22772500 is an apocalyptic number.

22772500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22772500 is an abundant number, since it is smaller than the sum of its proper divisors (27031870).

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

22772500 is an equidigital number, since it uses as much as digits as its factorization.

22772500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 22772500 is about 4772.0540650751. The cubic root of 22772500 is about 283.4459375566.

It can be divided in two parts, 227 and 72500, that added together give a palindrome (72727).

The spelling of 22772500 in words is "twenty-two million, seven hundred seventy-two thousand, five hundred".