223266 has 16 divisors (see below), whose sum is σ = 451584. Its totient is φ = 73584.

The previous prime is 223259. The next prime is 223273. The reversal of 223266 is 662322.

It is an interprime number because it is at equal distance from previous prime (223259) and next prime (223273).

It is a super-3 number, since 3×223266³ = 33387894289755288, which contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

223266 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, 616 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2²²³²⁶⁶ is an apocalyptic number.

223266 is an abundant number, since it is smaller than the sum of its proper divisors (228318).

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

223266 is a wasteful number, since it uses less digits than its factorization.

223266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its digits is 864, while the sum is 21.

The square root of 223266 is about 472.5103173477. The cubic root of 223266 is about 60.6653718410.

Adding to 223266 its reverse (662322), we get a palindrome (885588).

It can be divided in two parts, 22326 and 6, that multiplied together give a square (133956 = 366²).

The spelling of 223266 in words is "two hundred twenty-three thousand, two hundred sixty-six".