22749984 has 120 divisors (see below), whose sum is σ = 68424048. Its totient is φ = 7413120.

The previous prime is 22749971. The next prime is 22749989. The reversal of 22749984 is 48994722.

It is not an unprimeable number, because it can be changed into a prime (22749989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173599 + ... + 173729.

Almost surely, 2^22749984 is an apocalyptic number.

22749984 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 22749984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34212024).

22749984 is an abundant number, since it is smaller than the sum of its proper divisors (45674064).

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

22749984 is a wasteful number, since it uses less digits than its factorization.

22749984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 22749984 is about 4769.6943298287. The cubic root of 22749984 is about 283.3524889779.

The spelling of 22749984 in words is "twenty-two million, seven hundred forty-nine thousand, nine hundred eighty-four".