22182912 has 132 divisors (see below), whose sum is σ = 67059720. Its totient is φ = 7053312.

The previous prime is 22182907. The next prime is 22182929. The reversal of 22182912 is 21928122.

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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267223 + ... + 267305.

Almost surely, 2^22182912 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 22182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33529860).

22182912 is an abundant number, since it is smaller than the sum of its proper divisors (44876808).

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

22182912 is a wasteful number, since it uses less digits than its factorization.

22182912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 22182912 is about 4709.8738836619. The cubic root of 22182912 is about 280.9783462922.

It can be divided in two parts, 221829 and 12, that added together give a square (221841 = 471²).

The spelling of 22182912 in words is "twenty-two million, one hundred eighty-two thousand, nine hundred twelve".