223921920 has 72 divisors (see below), whose sum is σ = 715162896. Its totient is φ = 59711488.

The previous prime is 223921913. The next prime is 223921921. The reversal of 223921920 is 29129322.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223921921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25317 + ... + 32996.

It is an arithmetic number, because the mean of its divisors is an integer number (9932818).

Almost surely, 2^223921920 is an apocalyptic number.

223921920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223921920 is an abundant number, since it is smaller than the sum of its proper divisors (491240976).

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

223921920 is an equidigital number, since it uses as much as digits as its factorization.

223921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58337 (or 58323 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 223921920 is about 14964.0208500256. The cubic root of 223921920 is about 607.2472216309.

The spelling of 223921920 in words is "two hundred twenty-three million, nine hundred twenty-one thousand, nine hundred twenty".