223652800 has 168 divisors, whose sum is σ = 662675840. Its totient is φ = 72576000.

The previous prime is 223652771. The next prime is 223652873. The reversal of 223652800 is 8256322.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 212275 + ... + 213325.

Almost surely, 2^223652800 is an apocalyptic number.

223652800 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 223652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331337920).

223652800 is an abundant number, since it is smaller than the sum of its proper divisors (439023040).

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

223652800 is a wasteful number, since it uses less digits than its factorization.

223652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 223652800 is about 14955.0259110441. The cubic root of 223652800 is about 607.0038512548.

The spelling of 223652800 in words is "two hundred twenty-three million, six hundred fifty-two thousand, eight hundred".