223840800 has 288 divisors, whose sum is σ = 831821760. Its totient is φ = 58060800.

The previous prime is 223840723. The next prime is 223840817. The reversal of 223840800 is 8048322.

223840800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 928680 + ... + 928920.

It is an arithmetic number, because the mean of its divisors is an integer number (2888270).

Almost surely, 2^223840800 is an apocalyptic number.

223840800 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 223840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

223840800 is an abundant number, since it is smaller than the sum of its proper divisors (607980960).

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

223840800 is a wasteful number, since it uses less digits than its factorization.

223840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 223840800 is about 14961.3101030625. The cubic root of 223840800 is about 607.1738837992.

The spelling of 223840800 in words is "two hundred twenty-three million, eight hundred forty thousand, eight hundred".