22933680 has 320 divisors, whose sum is σ = 95136768. Its totient is φ = 4423680.

The previous prime is 22933679. The next prime is 22933681. The reversal of 22933680 is 8633922.

It is an interprime number because it is at equal distance from previous prime (22933679) and next prime (22933681).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22933681) 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 63 ways as a sum of consecutive naturals, for example, 314124 + ... + 314196.

Almost surely, 2^22933680 is an apocalyptic number.

22933680 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 22933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568384).

22933680 is an abundant number, since it is smaller than the sum of its proper divisors (72203088).

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

22933680 is a wasteful number, since it uses less digits than its factorization.

22933680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 22933680 is about 4788.9121938077. The cubic root of 22933680 is about 284.1130938855.

The spelling of 22933680 in words is "twenty-two million, nine hundred thirty-three thousand, six hundred eighty".