22929984 has 252 divisors, whose sum is σ = 84319872. Its totient is φ = 5829120.

The previous prime is 22929971. The next prime is 22929989. The reversal of 22929984 is 48992922.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22929989) 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 35 ways as a sum of consecutive naturals, for example, 487849 + ... + 487895.

Almost surely, 2^22929984 is an apocalyptic number.

22929984 is a gapful number since it is divisible by the number (24) 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 22929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159936).

22929984 is an abundant number, since it is smaller than the sum of its proper divisors (61389888).

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

22929984 is a wasteful number, since it uses less digits than its factorization.

22929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 22929984 is about 4788.5262868653. The cubic root of 22929984 is about 284.0978304765.

The spelling of 22929984 in words is "twenty-two million, nine hundred twenty-nine thousand, nine hundred eighty-four".