22126400 has 42 divisors (see below), whose sum is σ = 54448710. Its totient is φ = 8849920.

The previous prime is 22126397. The next prime is 22126427. The reversal of 22126400 is 462122.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 22052416 = 272^2 + 4696^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5315 + ... + 8514.

Almost surely, 2^22126400 is an apocalyptic number.

22126400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22126400 is an abundant number, since it is smaller than the sum of its proper divisors (32322310).

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

22126400 is a wasteful number, since it uses less digits than its factorization.

22126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13851 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 22126400 is about 4703.8707465235. The cubic root of 22126400 is about 280.7395415870.

Adding to 22126400 its reverse (462122), we get a palindrome (22588522).

The spelling of 22126400 in words is "twenty-two million, one hundred twenty-six thousand, four hundred".