22733824 has 33 divisors (see below), whose sum is σ = 45752497. Its totient is φ = 11290624.

The previous prime is 22733807. The next prime is 22733827. The reversal of 22733824 is 42833722.

The square root of 22733824 is 4768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 20070400 = 1632^2 + 4480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22733827) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 152502 + ... + 152650.

Almost surely, 2^22733824 is an apocalyptic number.

22733824 is the 4768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22733824

22733824 is an abundant number, since it is smaller than the sum of its proper divisors (23018673).

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

22733824 is an frugal number, since it uses more digits than its factorization.

22733824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 151 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The cubic root of 22733824 is about 283.2853818121.

The spelling of 22733824 in words is "twenty-two million, seven hundred thirty-three thousand, eight hundred twenty-four".