223888800 has 72 divisors (see below), whose sum is σ = 728765856. Its totient is φ = 59703040.

The previous prime is 223888781. The next prime is 223888807. The reversal of 223888800 is 8888322.

223888800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (223888807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44244 + ... + 49043.

It is an arithmetic number, because the mean of its divisors is an integer number (10121748).

Almost surely, 2^223888800 is an apocalyptic number.

223888800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223888800 is an abundant number, since it is smaller than the sum of its proper divisors (504877056).

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

223888800 is a wasteful number, since it uses less digits than its factorization.

223888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93310 (or 93297 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 223888800 is about 14962.9141546692. The cubic root of 223888800 is about 607.2172811057.

The spelling of 223888800 in words is "two hundred twenty-three million, eight hundred eighty-eight thousand, eight hundred".