22444800 has 216 divisors, whose sum is σ = 85161216. Its totient is φ = 5099520.

The previous prime is 22444789. The next prime is 22444817. The reversal of 22444800 is 844422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 134317 + ... + 134483.

Almost surely, 2^22444800 is an apocalyptic number.

22444800 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 22444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42580608).

22444800 is an abundant number, since it is smaller than the sum of its proper divisors (62716416).

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

22444800 is a wasteful number, since it uses less digits than its factorization.

22444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 22444800 is about 4737.5943262377. The cubic root of 22444800 is about 282.0797521025.

The spelling of 22444800 in words is "twenty-two million, four hundred forty-four thousand, eight hundred".