22945824 has 72 divisors (see below), whose sum is σ = 71194032. Its totient is φ = 6952320.

The previous prime is 22945807. The next prime is 22945843. The reversal of 22945824 is 42854922.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (988806).

Almost surely, 2^22945824 is an apocalyptic number.

22945824 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 22945824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35597016).

22945824 is an abundant number, since it is smaller than the sum of its proper divisors (48248208).

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

22945824 is a wasteful number, since it uses less digits than its factorization.

22945824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7259 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22945824 is about 4790.1799548660. The cubic root of 22945824 is about 284.1632335431.

It can be divided in two parts, 2294 and 5824, that added together give a palindrome (8118).

The spelling of 22945824 in words is "twenty-two million, nine hundred forty-five thousand, eight hundred twenty-four".