22755984 has 80 divisors (see below), whose sum is σ = 62329344. Its totient is φ = 7142400.

The previous prime is 22755983. The next prime is 22755991. The reversal of 22755984 is 48955722.

22755984 = 135² + 136² + ... + 413².

Its product of digits (201600) is a multiple of the sum of its prime divisors (450).

It is not an unprimeable number, because it can be changed into a prime (22755983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60822 + ... + 61194.

Almost surely, 2^22755984 is an apocalyptic number.

22755984 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 22755984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31164672).

22755984 is an abundant number, since it is smaller than the sum of its proper divisors (39573360).

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

22755984 is a wasteful number, since it uses less digits than its factorization.

22755984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 22755984 is about 4770.3232594867. The cubic root of 22755984 is about 283.3773969147.

The spelling of 22755984 in words is "twenty-two million, seven hundred fifty-five thousand, nine hundred eighty-four".