22982112 has 72 divisors (see below), whose sum is σ = 65847600. Its totient is φ = 7603200.

The previous prime is 22982111. The next prime is 22982117. The reversal of 22982112 is 21128922.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22982111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57112 + ... + 57512.

It is an arithmetic number, because the mean of its divisors is an integer number (914550).

Almost surely, 2^22982112 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 22982112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32923800).

22982112 is an abundant number, since it is smaller than the sum of its proper divisors (42865488).

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

22982112 is a wasteful number, since it uses less digits than its factorization.

22982112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

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

The square root of 22982112 is about 4793.9662076406. The cubic root of 22982112 is about 284.3129526426.

The spelling of 22982112 in words is "twenty-two million, nine hundred eighty-two thousand, one hundred twelve".