22084400 has 120 divisors (see below), whose sum is σ = 59412864. Its totient is φ = 7833600.

The previous prime is 22084367. The next prime is 22084427. The reversal of 22084400 is 448022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161132 + ... + 161268.

Almost surely, 2^22084400 is an apocalyptic number.

22084400 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 22084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706432).

22084400 is an abundant number, since it is smaller than the sum of its proper divisors (37328464).

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

22084400 is a wasteful number, since it uses less digits than its factorization.

22084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 22084400 is about 4699.4042175578. The cubic root of 22084400 is about 280.5617972158.

The spelling of 22084400 in words is "twenty-two million, eighty-four thousand, four hundred".