22885200 has 240 divisors, whose sum is σ = 88258240. Its totient is φ = 5598720.

The previous prime is 22885169. The next prime is 22885201. The reversal of 22885200 is 258822.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22885201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140319 + ... + 140481.

Almost surely, 2^22885200 is an apocalyptic number.

22885200 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 22885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44129120).

22885200 is an abundant number, since it is smaller than the sum of its proper divisors (65373040).

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

22885200 is a wasteful number, since it uses less digits than its factorization.

22885200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22885200 is about 4783.8478236666. The cubic root of 22885200 is about 283.9127550565.

The spelling of 22885200 in words is "twenty-two million, eight hundred eighty-five thousand, two hundred".