22972096 has 56 divisors (see below), whose sum is σ = 53254656. Its totient is φ = 9626880.

The previous prime is 22972093. The next prime is 22972097. The reversal of 22972096 is 69027922.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (22972093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20511 + ... + 21601.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^22972096 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 22972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

22972096 is an abundant number, since it is smaller than the sum of its proper divisors (30282560).

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

22972096 is a wasteful number, since it uses less digits than its factorization.

22972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 22972096 is about 4792.9214473012. The cubic root of 22972096 is about 284.2716438147.

The spelling of 22972096 in words is "twenty-two million, nine hundred seventy-two thousand, ninety-six".