22912 has 16 divisors (see below), whose sum is σ = 45900. Its totient is φ = 11392.

The previous prime is 22907. The next prime is 22921. The reversal of 22912 is 21922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39 + ... + 217.

2²²⁹¹² 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 22912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950).

22912 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

22912 is an equidigital number, since it uses as much as digits as its factorization.

22912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 22912 is about 151.3671034274. The cubic root of 22912 is about 28.4023538352.

Subtracting from 22912 its reverse (21922), we obtain a triangular number (990 = T₄₄).

The spelling of 22912 in words is "twenty-two thousand, nine hundred twelve".