22852800 has 252 divisors, whose sum is σ = 87086440. Its totient is φ = 5829120.

The previous prime is 22852789. The next prime is 22852807. The reversal of 22852800 is 825822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (22852807) 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 35 ways as a sum of consecutive naturals, for example, 993589 + ... + 993611.

Almost surely, 2^22852800 is an apocalyptic number.

22852800 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 22852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43543220).

22852800 is an abundant number, since it is smaller than the sum of its proper divisors (64233640).

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

22852800 is a wasteful number, since it uses less digits than its factorization.

22852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

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

The square root of 22852800 is about 4780.4602288901. The cubic root of 22852800 is about 283.7787074657.

Multiplying 22852800 by its sum of digits (27), we get a square (617025600 = 24840²).

22852800 divided by its sum of digits (27) gives a square (846400 = 920²).

The spelling of 22852800 in words is "twenty-two million, eight hundred fifty-two thousand, eight hundred".