223221800 has 48 divisors (see below), whose sum is σ = 530055360. Its totient is φ = 87385280.

The previous prime is 223221769. The next prime is 223221811. The reversal of 223221800 is 8122322.

It is a super-3 number, since 3×223221800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 2474 + ... + 21273.

It is an arithmetic number, because the mean of its divisors is an integer number (11042820).

Almost surely, 2^223221800 is an apocalyptic number.

223221800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221800 is an abundant number, since it is smaller than the sum of its proper divisors (306833560).

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

223221800 is a wasteful number, since it uses less digits than its factorization.

223221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23810 (or 23801 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 223221800 is about 14940.6090906629. The cubic root of 223221800 is about 606.6136826622.

The spelling of 223221800 in words is "two hundred twenty-three million, two hundred twenty-one thousand, eight hundred".