223268 has 6 divisors (see below), whose sum is σ = 390726. Its totient is φ = 111632.

The previous prime is 223259. The next prime is 223273. The reversal of 223268 is 862322.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 484 = 472^2 + 22^2 .

It is a super-3 number, since 3×223268³ = 33388791556514496, which contains 333 as substring.

It is an Ulam number.

It is an unprimeable number.

223268 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 as a sum of consecutive naturals, namely, 27905 + ... + 27912.

It is an arithmetic number, because the mean of its divisors is an integer number (65121).

2²²³²⁶⁸ is an apocalyptic number.

It is an amenable number.

223268 is a deficient number, since it is larger than the sum of its proper divisors (167458).

223268 is a wasteful number, since it uses less digits than its factorization.

223268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55821 (or 55819 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 223268 is about 472.5124336988. The cubic root of 223268 is about 60.6655529858.

The spelling of 223268 in words is "two hundred twenty-three thousand, two hundred sixty-eight".