22438800 has 180 divisors, whose sum is σ = 81554304. Its totient is φ = 5702400.

The previous prime is 22438783. The next prime is 22438817. The reversal of 22438800 is 883422.

It is an interprime number because it is at equal distance from previous prime (22438783) and next prime (22438817).

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 82665 + ... + 82935.

Almost surely, 2^22438800 is an apocalyptic number.

22438800 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 22438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777152).

22438800 is an abundant number, since it is smaller than the sum of its proper divisors (59115504).

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

22438800 is a wasteful number, since it uses less digits than its factorization.

22438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22438800 is about 4736.9610511382. The cubic root of 22438800 is about 282.0546144411.

The spelling of 22438800 in words is "twenty-two million, four hundred thirty-eight thousand, eight hundred".