223120800 has 432 divisors, whose sum is σ = 950564160. Its totient is φ = 48107520.

The previous prime is 223120789. The next prime is 223120823. The reversal of 223120800 is 8021322.

It is a happy number.

It is a super-3 number, since 3×223120800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957484 + ... + 957716.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2^223120800 is an apocalyptic number.

223120800 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 223120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

223120800 is an abundant number, since it is smaller than the sum of its proper divisors (727443360).

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

223120800 is a wasteful number, since it uses less digits than its factorization.

223120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 223120800 is about 14937.2286586234. The cubic root of 223120800 is about 606.5221784202.

The spelling of 223120800 in words is "two hundred twenty-three million, one hundred twenty thousand, eight hundred".