22752900 has 135 divisors (see below), whose sum is σ = 75173791. Its totient is φ = 5952960.

The previous prime is 22752887. The next prime is 22752929. The reversal of 22752900 is 925722.

It is a happy number.

The square root of 22752900 is 4770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 22581504 = 414^2 + 4752^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 429274 + ... + 429326.

Almost surely, 2^22752900 is an apocalyptic number.

22752900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22752900 is the 4770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22752900

22752900 is an abundant number, since it is smaller than the sum of its proper divisors (52420891).

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

22752900 is a wasteful number, since it uses less digits than its factorization.

22752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 22752900 is about 283.3645947821.

It can be divided in two parts, 22752 and 900, that multiplied together give a triangular number (20476800 = T₆₃₉₉).

The spelling of 22752900 in words is "twenty-two million, seven hundred fifty-two thousand, nine hundred".