22956000 has 96 divisors (see below), whose sum is σ = 75243168. Its totient is φ = 6118400.

The previous prime is 22955969. The next prime is 22956013. The reversal of 22956000 is 65922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11044 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (783783).

Almost surely, 2^22956000 is an apocalyptic number.

22956000 is a gapful number since it is divisible by the number (20) 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 22956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37621584).

22956000 is an abundant number, since it is smaller than the sum of its proper divisors (52287168).

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

22956000 is a wasteful number, since it uses less digits than its factorization.

22956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 22956000 is about 4791.2420101681. The cubic root of 22956000 is about 284.2052341806.

The spelling of 22956000 in words is "twenty-two million, nine hundred fifty-six thousand".