22833972 has 108 divisors (see below), whose sum is σ = 69896736. Its totient is φ = 6156000.

The previous prime is 22833971. The next prime is 22833973. The reversal of 22833972 is 27933822.

It is an interprime number because it is at equal distance from previous prime (22833971) and next prime (22833973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22833971) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 90847 + ... + 91097.

It is an arithmetic number, because the mean of its divisors is an integer number (647192).

Almost surely, 2^22833972 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 22833972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948368).

22833972 is an abundant number, since it is smaller than the sum of its proper divisors (47062764).

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

22833972 is a wasteful number, since it uses less digits than its factorization.

22833972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 22833972 is about 4778.4905566507. The cubic root of 22833972 is about 283.7007527074.

The spelling of 22833972 in words is "twenty-two million, eight hundred thirty-three thousand, nine hundred seventy-two".