22304000 has 144 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 8192000.

The previous prime is 22303993. The next prime is 22304027. The reversal of 22304000 is 40322.

It can be written as a sum of positive squares in 8 ways, for example, as 10137856 + 12166144 = 3184^2 + 3488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543980 + ... + 544020.

It is an arithmetic number, because the mean of its divisors is an integer number (418509).

Almost surely, 2^22304000 is an apocalyptic number.

22304000 is a gapful number since it is divisible by the number (20) 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 22304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).

22304000 is an abundant number, since it is smaller than the sum of its proper divisors (37961296).

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

22304000 is an equidigital number, since it uses as much as digits as its factorization.

22304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 22304000 is about 4722.7110858065. The cubic root of 22304000 is about 281.4886698346.

Adding to 22304000 its reverse (40322), we get a palindrome (22344322).

The spelling of 22304000 in words is "twenty-two million, three hundred four thousand".