223288800 has 144 divisors (see below), whose sum is σ = 830696832. Its totient is φ = 51033600.

The previous prime is 223288799. The next prime is 223288831. The reversal of 223288800 is 8882322.

223288800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223288800³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10155 + ... + 23445.

It is an arithmetic number, because the mean of its divisors is an integer number (5768728).

Almost surely, 2^223288800 is an apocalyptic number.

223288800 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 223288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415348416).

223288800 is an abundant number, since it is smaller than the sum of its proper divisors (607408032).

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

223288800 is a wasteful number, since it uses less digits than its factorization.

223288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 223288800 is about 14942.8511335689. The cubic root of 223288800 is about 606.6743682689.

The spelling of 223288800 in words is "two hundred twenty-three million, two hundred eighty-eight thousand, eight hundred".