22344400 has 60 divisors (see below), whose sum is σ = 57825292. Its totient is φ = 8248320.

The previous prime is 22344373. The next prime is 22344401. The reversal of 22344400 is 444322.

It can be written as a sum of positive squares in 6 ways, for example, as 2202256 + 20142144 = 1484^2 + 4488^2 .

It is a super-2 number, since 2×22344400² = 998544422720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22344401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3052 + ... + 7348.

Almost surely, 2^22344400 is an apocalyptic number.

22344400 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 22344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28912646).

22344400 is an abundant number, since it is smaller than the sum of its proper divisors (35480892).

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

22344400 is a wasteful number, since it uses less digits than its factorization.

22344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 22344400 is about 4726.9863549623. The cubic root of 22344400 is about 281.6585240148.

Adding to 22344400 its reverse (444322), we get a palindrome (22788722).

The spelling of 22344400 in words is "twenty-two million, three hundred forty-four thousand, four hundred".