22484400 has 120 divisors (see below), whose sum is σ = 73943184. Its totient is φ = 5836800.

The previous prime is 22484389. The next prime is 22484431. The reversal of 22484400 is 448422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 48972 + ... + 49428.

Almost surely, 2^22484400 is an apocalyptic number.

22484400 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 22484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36971592).

22484400 is an abundant number, since it is smaller than the sum of its proper divisors (51458784).

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

22484400 is a wasteful number, since it uses less digits than its factorization.

22484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 22484400 is about 4741.7718207438. The cubic root of 22484400 is about 282.2455484149.

The spelling of 22484400 in words is "twenty-two million, four hundred eighty-four thousand, four hundred".