22438400 has 60 divisors (see below), whose sum is σ = 55624602. Its totient is φ = 8970240.

The previous prime is 22438399. The next prime is 22438421. The reversal of 22438400 is 483422.

It can be written as a sum of positive squares in 3 ways, for example, as 9935104 + 12503296 = 3152^2 + 3536^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11924 + ... + 13676.

Almost surely, 2^22438400 is an apocalyptic number.

22438400 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 22438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27812301).

22438400 is an abundant number, since it is smaller than the sum of its proper divisors (33186202).

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

22438400 is an equidigital number, since it uses as much as digits as its factorization.

22438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 22438400 is about 4736.9188297880. The cubic root of 22438400 is about 282.0529384377.

The spelling of 22438400 in words is "twenty-two million, four hundred thirty-eight thousand, four hundred".