22166400 has 96 divisors (see below), whose sum is σ = 73042200. Its totient is φ = 5908480.

The previous prime is 22166383. The next prime is 22166447. The reversal of 22166400 is 466122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8446 + ... + 10754.

Almost surely, 2^22166400 is an apocalyptic number.

22166400 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 22166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36521100).

22166400 is an abundant number, since it is smaller than the sum of its proper divisors (50875800).

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

22166400 is a wasteful number, since it uses less digits than its factorization.

22166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22166400 is about 4708.1206441637. The cubic root of 22166400 is about 280.9086129455.

The spelling of 22166400 in words is "twenty-two million, one hundred sixty-six thousand, four hundred".