223264 has 12 divisors (see below), whose sum is σ = 439614. Its totient is φ = 111616.

The previous prime is 223259. The next prime is 223273. The reversal of 223264 is 462322.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 11664 = 460^2 + 108^2 .

It is a super-3 number, since 3×223264³ = 33386997039071232, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3457 + ... + 3520.

2²²³²⁶⁴ is an apocalyptic number.

It is an amenable number.

223264 is a deficient number, since it is larger than the sum of its proper divisors (216350).

223264 is an equidigital number, since it uses as much as digits as its factorization.

223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6979 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 223264 is about 472.5082009870. The cubic root of 223264 is about 60.6651906952.

Adding to 223264 its reverse (462322), we get a palindrome (685586).

The spelling of 223264 in words is "two hundred twenty-three thousand, two hundred sixty-four".