22353984 has 63 divisors (see below), whose sum is σ = 64400557. Its totient is φ = 7413504.

The previous prime is 22353949. The next prime is 22354001. The reversal of 22353984 is 48935322.

The square root of 22353984 is 4728.

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

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 451584 = 4680^2 + 672^2 .

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 8 ways as a sum of consecutive naturals, for example, 113374 + ... + 113570.

Almost surely, 2^22353984 is an apocalyptic number.

22353984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22353984 is the 4728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22353984

22353984 is an abundant number, since it is smaller than the sum of its proper divisors (42046573).

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

22353984 is an equidigital number, since it uses as much as digits as its factorization.

22353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 202 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 22353984 is about 281.6987880846.

Multiplying 22353984 by its sum of digits (36), we get a square (804743424 = 28368²).

22353984 divided by its sum of digits (36) gives a square (620944 = 788²).

The spelling of 22353984 in words is "twenty-two million, three hundred fifty-three thousand, nine hundred eighty-four".