22944100 has 27 divisors (see below), whose sum is σ = 49892857. Its totient is φ = 9158480.

The previous prime is 22944059. The next prime is 22944121. The reversal of 22944100 is 144922.

The square root of 22944100 is 4790.

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

It can be written as a sum of positive squares in only one way, i.e., 8259876 + 14684224 = 2874^2 + 3832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47661 + ... + 48139.

Almost surely, 2^22944100 is an apocalyptic number.

22944100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22944100 is the 4790-th square number.

It is an amenable number.

22944100 is an abundant number, since it is smaller than the sum of its proper divisors (26948757).

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

22944100 is an equidigital number, since it uses as much as digits as its factorization.

22944100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 22944100 is about 284.1561166390.

Multiplying 22944100 by its product of nonzero digits (576), we get a square (13215801600 = 114960²).

The spelling of 22944100 in words is "twenty-two million, nine hundred forty-four thousand, one hundred".