22982400 has 432 divisors, whose sum is σ = 101382400. Its totient is φ = 4976640.

The previous prime is 22982369. The next prime is 22982417. The reversal of 22982400 is 428922.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209591 + ... + 1209609.

Almost surely, 2^22982400 is an apocalyptic number.

22982400 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 22982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50691200).

22982400 is an abundant number, since it is smaller than the sum of its proper divisors (78400000).

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

22982400 is a wasteful number, since it uses less digits than its factorization.

22982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22982400 is about 4793.9962453052. The cubic root of 22982400 is about 284.3141402588.

The spelling of 22982400 in words is "twenty-two million, nine hundred eighty-two thousand, four hundred".