223983200 has 288 divisors, whose sum is σ = 683956224. Its totient is φ = 69949440.

The previous prime is 223983187. The next prime is 223983233. The reversal of 223983200 is 2389322.

223983200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4765577 + ... + 4765623.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2^223983200 is an apocalyptic number.

223983200 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 223983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112).

223983200 is an abundant number, since it is smaller than the sum of its proper divisors (459973024).

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

223983200 is a wasteful number, since it uses less digits than its factorization.

223983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 223983200 is about 14966.0682879639. The cubic root of 223983200 is about 607.3026110507.

The spelling of 223983200 in words is "two hundred twenty-three million, nine hundred eighty-three thousand, two hundred".