22284518400 has 297 divisors, whose sum is σ = 80046500053. Its totient is φ = 5923430400.

The previous prime is 22284518393. The next prime is 22284518411. The reversal of 22284518400 is 481548222.

The square root of 22284518400 is 149280.

It is a perfect power (a square), and thus also a powerful number.

22284518400 is a `hidden beast` number, since 2 + 22 + 84 + 518 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8022426624 + 14262091776 = 89568^2 + 119424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71654245 + ... + 71654555.

Almost surely, 2^22284518400 is an apocalyptic number.

22284518400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22284518400 is the 149280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22284518400

22284518400 is an abundant number, since it is smaller than the sum of its proper divisors (57761981653).

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

22284518400 is an equidigital number, since it uses as much as digits as its factorization.

22284518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 22284518400 by its sum of digits (36), we get a square (802242662400 = 895680²).

22284518400 divided by its sum of digits (36) gives a square (619014400 = 24880²).

The spelling of 22284518400 in words is "twenty-two billion, two hundred eighty-four million, five hundred eighteen thousand, four hundred".