22749824 has 32 divisors (see below), whose sum is σ = 45854100. Its totient is φ = 11241472.

The previous prime is 22749803. The next prime is 22749827. The reversal of 22749824 is 42894722.

It can be written as a sum of positive squares in 2 ways, for example, as 17909824 + 4840000 = 4232^2 + 2200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (22749827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10394 + ... + 12390.

Almost surely, 2^22749824 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 22749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927050).

22749824 is an abundant number, since it is smaller than the sum of its proper divisors (23104276).

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

22749824 is an equidigital number, since it uses as much as digits as its factorization.

22749824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2088 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 22749824 is about 4769.6775572359. The cubic root of 22749824 is about 283.3518247063.

The spelling of 22749824 in words is "twenty-two million, seven hundred forty-nine thousand, eight hundred twenty-four".