22252800 has 216 divisors, whose sum is σ = 78571360. Its totient is φ = 5529600.

The previous prime is 22252793. The next prime is 22252829. The reversal of 22252800 is 825222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364770 + ... + 364830.

Almost surely, 2^22252800 is an apocalyptic number.

22252800 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 22252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39285680).

22252800 is an abundant number, since it is smaller than the sum of its proper divisors (56318560).

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

22252800 is a wasteful number, since it uses less digits than its factorization.

22252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 22252800 is about 4717.2873560978. The cubic root of 22252800 is about 281.2731141497.

The spelling of 22252800 in words is "twenty-two million, two hundred fifty-two thousand, eight hundred".