22956120 has 288 divisors, whose sum is σ = 89631360. Its totient is φ = 5068800.

The previous prime is 22956119. The next prime is 22956121. The reversal of 22956120 is 2165922.

It is an interprime number because it is at equal distance from previous prime (22956119) and next prime (22956121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22956121) 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 71 ways as a sum of consecutive naturals, for example, 740505 + ... + 740535.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^22956120 is an apocalyptic number.

22956120 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 22956120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

22956120 is an abundant number, since it is smaller than the sum of its proper divisors (66675240).

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

22956120 is a wasteful number, since it uses less digits than its factorization.

22956120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 22956120 is about 4791.2545330007. The cubic root of 22956120 is about 284.2057293971.

The spelling of 22956120 in words is "twenty-two million, nine hundred fifty-six thousand, one hundred twenty".