223392 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 68352.

The previous prime is 223381. The next prime is 223403. The reversal of 223392 is 293322.

It is an interprime number because it is at equal distance from previous prime (223381) and next prime (223403).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

223392 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 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²²³³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

223392 is an abundant number, since it is smaller than the sum of its proper divisors (411648).

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

223392 is a wasteful number, since it uses less digits than its factorization.

223392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 223392 is about 472.6436289637. The cubic root of 223392 is about 60.6767818473.

The spelling of 223392 in words is "two hundred twenty-three thousand, three hundred ninety-two".