22372900 has 81 divisors (see below), whose sum is σ = 54633873. Its totient is φ = 7946400.

The previous prime is 22372897. The next prime is 22372907. The reversal of 22372900 is 927322.

The square root of 22372900 is 4730.

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., 8054244 + 14318656 = 2838^2 + 3784^2 .

It is a super-3 number, since 3×22372900³ (a number of 23 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22372907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 520279 + ... + 520321.

Almost surely, 2^22372900 is an apocalyptic number.

22372900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22372900 is the 4730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22372900

22372900 is an abundant number, since it is smaller than the sum of its proper divisors (32260973).

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

22372900 is a wasteful number, since it uses less digits than its factorization.

22372900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The cubic root of 22372900 is about 281.7782237675.

Multiplying 22372900 by its sum of digits (25), we get a square (559322500 = 23650²).

22372900 divided by its sum of digits (25) gives a square (894916 = 946²).

The spelling of 22372900 in words is "twenty-two million, three hundred seventy-two thousand, nine hundred".