22815936 has 168 divisors, whose sum is σ = 77108304. Its totient is φ = 6359040.

The previous prime is 22815913. The next prime is 22815959. The reversal of 22815936 is 63951822.

It is an interprime number because it is at equal distance from previous prime (22815913) and next prime (22815959).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22815936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82230 + ... + 82506.

It is an arithmetic number, because the mean of its divisors is an integer number (458978).

Almost surely, 2^22815936 is an apocalyptic number.

22815936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38554152).

22815936 is an abundant number, since it is smaller than the sum of its proper divisors (54292368).

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

22815936 is a wasteful number, since it uses less digits than its factorization.

22815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 22815936 is about 4776.6029770120. The cubic root of 22815936 is about 283.6260369201.

The spelling of 22815936 in words is "twenty-two million, eight hundred fifteen thousand, nine hundred thirty-six".