22446900 has 162 divisors, whose sum is σ = 82006470. Its totient is φ = 5120640.

The previous prime is 22446889. The next prime is 22446913. The reversal of 22446900 is 964422.

It can be written as a sum of positive squares in 3 ways, for example, as 3732624 + 18714276 = 1932^2 + 4326^2 .

It is a super-2 number, since 2×22446900² = 1007726639220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 43846 + ... + 44354.

Almost surely, 2^22446900 is an apocalyptic number.

22446900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22446900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41003235).

22446900 is an abundant number, since it is smaller than the sum of its proper divisors (59559570).

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

22446900 is a wasteful number, since it uses less digits than its factorization.

22446900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22446900 is about 4737.8159525250. The cubic root of 22446900 is about 282.0885492256.

The spelling of 22446900 in words is "twenty-two million, four hundred forty-six thousand, nine hundred".