223116 has 12 divisors (see below), whose sum is σ = 520632. Its totient is φ = 74368.

The previous prime is 223103. The next prime is 223129. The reversal of 223116 is 611322.

It is an interprime number because it is at equal distance from previous prime (223103) and next prime (223129).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×223116³ = 33320645086874688, which contains 333 as substring.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 223095 and 223104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223116.

It is an unprimeable number.

223116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9285 + ... + 9308.

It is an arithmetic number, because the mean of its divisors is an integer number (43386).

2²²³¹¹⁶ is an apocalyptic number.

It is an amenable number.

223116 is an abundant number, since it is smaller than the sum of its proper divisors (297516).

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

223116 is a wasteful number, since it uses less digits than its factorization.

223116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18600 (or 18598 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 223116 is about 472.3515639860. The cubic root of 223116 is about 60.6517829016.

Adding to 223116 its reverse (611322), we get a palindrome (834438).

The spelling of 223116 in words is "two hundred twenty-three thousand, one hundred sixteen".