223328 has 24 divisors (see below), whose sum is σ = 502992. Its totient is φ = 95616.

The previous prime is 223319. The next prime is 223331. The reversal of 223328 is 823322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

223328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (20958).

2²²³³²⁸ is an apocalyptic number.

223328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

223328 is an abundant number, since it is smaller than the sum of its proper divisors (279664).

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

223328 is an equidigital number, since it uses as much as digits as its factorization.

223328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 223328 is about 472.5759198266. The cubic root of 223328 is about 60.6709868249.

It can be divided in two parts, 2 and 23328, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 223328 in words is "two hundred twenty-three thousand, three hundred twenty-eight".