21922400 has 72 divisors (see below), whose sum is σ = 54449640. Its totient is φ = 8616960.

The previous prime is 21922379. The next prime is 21922423. The reversal of 21922400 is 422912.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53396 + ... + 53804.

It is an arithmetic number, because the mean of its divisors is an integer number (756245).

Almost surely, 2^21922400 is an apocalyptic number.

21922400 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 21922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27224820).

21922400 is an abundant number, since it is smaller than the sum of its proper divisors (32527240).

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

21922400 is a wasteful number, since it uses less digits than its factorization.

21922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 21922400 is about 4682.1362645698. The cubic root of 21922400 is about 279.8740930521.

It can be divided in two parts, 21922 and 400, that added together give a palindrome (22322).

The spelling of 21922400 in words is "twenty-one million, nine hundred twenty-two thousand, four hundred".