22304 has 24 divisors (see below), whose sum is σ = 47628. Its totient is φ = 10240.

The previous prime is 22303. The next prime is 22307. The reversal of 22304 is 40322.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 400 = 148^2 + 20^2 .

It is not an unprimeable number, because it can be changed into a prime (22303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 524 + ... + 564.

2²²³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23814).

22304 is an abundant number, since it is smaller than the sum of its proper divisors (25324).

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

22304 is a wasteful number, since it uses less digits than its factorization.

22304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 22304 is about 149.3452376208. The cubic root of 22304 is about 28.1488669835.

Adding to 22304 its reverse (40322), we get a palindrome (62626).

The spelling of 22304 in words is "twenty-two thousand, three hundred four", and thus it is an iban number.