223568400 has 120 divisors (see below), whose sum is σ = 781316064. Its totient is φ = 54195200.

The previous prime is 223568381. The next prime is 223568417. The reversal of 223568400 is 4865322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4732 + ... + 21668.

Almost surely, 2^223568400 is an apocalyptic number.

223568400 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 223568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390658032).

223568400 is an abundant number, since it is smaller than the sum of its proper divisors (557747664).

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

223568400 is a wasteful number, since it uses less digits than its factorization.

223568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16969 (or 16958 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 223568400 is about 14952.2038509378. The cubic root of 223568400 is about 606.9274865044.

The spelling of 223568400 in words is "two hundred twenty-three million, five hundred sixty-eight thousand, four hundred".