223272322 has 96 divisors (see below), whose sum is σ = 454189680. Its totient is φ = 81768960.

The previous prime is 223272289. The next prime is 223272331.

It is a happy number.

223272322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 25897921 + 197374401 = 5089^2 + 14049^2 .

It is a super-3 number, since 3×223272322³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660172 + ... + 3660232.

Almost surely, 2^223272322 is an apocalyptic number.

223272322 is an abundant number, since it is smaller than the sum of its proper divisors (230917358).

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

223272322 is a wasteful number, since it uses less digits than its factorization.

223272322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its digits is 4032, while the sum is 25.

The square root of 223272322 is about 14942.2997560616. The cubic root of 223272322 is about 606.6594443585.

It can be divided in two parts, 22327 and 2322, that added together give a square (24649 = 157²).

The spelling of 223272322 in words is "two hundred twenty-three million, two hundred seventy-two thousand, three hundred twenty-two".