22172900 has 18 divisors (see below), whose sum is σ = 48115410. Its totient is φ = 8869120.

The previous prime is 22172893. The next prime is 22172903. The reversal of 22172900 is 927122.

22172900 = T₄₆₇ + T₄₆₈ + ... + T₆₁₆.

It can be written as a sum of positive squares in 3 ways, for example, as 2334784 + 19838116 = 1528^2 + 4454^2 .

It is not an unprimeable number, because it can be changed into a prime (22172903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110765 + ... + 110964.

Almost surely, 2^22172900 is an apocalyptic number.

22172900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22172900 is an abundant number, since it is smaller than the sum of its proper divisors (25942510).

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

22172900 is a wasteful number, since it uses less digits than its factorization.

22172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221743 (or 221736 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 22172900 is about 4708.8108902355. The cubic root of 22172900 is about 280.9360678252.

The spelling of 22172900 in words is "twenty-two million, one hundred seventy-two thousand, nine hundred".