223368 has 32 divisors (see below), whose sum is σ = 574560. Its totient is φ = 72320.

The previous prime is 223367. The next prime is 223381. The reversal of 223368 is 863322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 8 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223361) by changing a digit.

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, 871 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2²²³³⁶⁸ 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 223368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

223368 is an abundant number, since it is smaller than the sum of its proper divisors (351192).

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

223368 is a wasteful number, since it uses less digits than its factorization.

223368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 223368 is about 472.6182391741. The cubic root of 223368 is about 60.6746088436.

The spelling of 223368 in words is "two hundred twenty-three thousand, three hundred sixty-eight".