223216 has 20 divisors (see below), whose sum is σ = 494512. Its totient is φ = 95616.

The previous prime is 223211. The next prime is 223217. The reversal of 223216 is 612322.

It is a super-3 number, since 3×223216³ = 33365467844825088, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 223216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 885 + ... + 1108.

2²²³²¹⁶ is an apocalyptic number.

It is an amenable number.

223216 is an abundant number, since it is smaller than the sum of its proper divisors (271296).

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

223216 is a wasteful number, since it uses less digits than its factorization.

223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 223216 is about 472.4574054875. The cubic root of 223216 is about 60.6608428710.

Adding to 223216 its reverse (612322), we get a palindrome (835538).

The spelling of 223216 in words is "two hundred twenty-three thousand, two hundred sixteen".