223900800 has 192 divisors, whose sum is σ = 749014560. Its totient is φ = 58777600.

The previous prime is 223900763. The next prime is 223900813. The reversal of 223900800 is 8009322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 796660 + ... + 796940.

Almost surely, 2^223900800 is an apocalyptic number.

223900800 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 223900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374507280).

223900800 is an abundant number, since it is smaller than the sum of its proper divisors (525113760).

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

223900800 is a wasteful number, since it uses less digits than its factorization.

223900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 223900800 is about 14963.3151407033. The cubic root of 223900800 is about 607.2281294632.

The spelling of 223900800 in words is "two hundred twenty-three million, nine hundred thousand, eight hundred".