22414400 has 42 divisors (see below), whose sum is σ = 55157370. Its totient is φ = 8965120.

The previous prime is 22414393. The next prime is 22414411. The reversal of 22414400 is 441422.

It can be written as a sum of positive squares in 3 ways, for example, as 3474496 + 18939904 = 1864^2 + 4352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5405 + ... + 8604.

Almost surely, 2^22414400 is an apocalyptic number.

22414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414400 is an abundant number, since it is smaller than the sum of its proper divisors (32742970).

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

22414400 is a wasteful number, since it uses less digits than its factorization.

22414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 22414400 is about 4734.3848597257. The cubic root of 22414400 is about 281.9523417609.

Adding to 22414400 its reverse (441422), we get a palindrome (22855822).

The spelling of 22414400 in words is "twenty-two million, four hundred fourteen thousand, four hundred".