22363824 has 80 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 6316800.

The previous prime is 22363807. The next prime is 22363829. The reversal of 22363824 is 42836322.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22363791 and 22363800.

It is not an unprimeable number, because it can be changed into a prime (22363829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33607 + ... + 34265.

It is an arithmetic number, because the mean of its divisors is an integer number (834768).

Almost surely, 2^22363824 is an apocalyptic number.

22363824 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 22363824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

22363824 is an abundant number, since it is smaller than the sum of its proper divisors (44417616).

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

22363824 is a wasteful number, since it uses less digits than its factorization.

22363824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 22363824 is about 4729.0404946458. The cubic root of 22363824 is about 281.7401156835.

The spelling of 22363824 in words is "twenty-two million, three hundred sixty-three thousand, eight hundred twenty-four".