320224221 has 12 divisors (see below), whose sum is σ = 462703072. Its totient is φ = 213410376.

The previous prime is 320224213. The next prime is 320224231. The reversal of 320224221 is 122422023.

It is not a de Polignac number, because 320224221 - 2³ = 320224213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320224194 and 320224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320224231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42480 + ... + 49446.

Almost surely, 2^320224221 is an apocalyptic number.

It is an amenable number.

320224221 is a deficient number, since it is larger than the sum of its proper divisors (142478851).

320224221 is a wasteful number, since it uses less digits than its factorization.

320224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12080 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320224221 is about 17894.8098900212. The cubic root of 320224221 is about 684.1500965875.

Adding to 320224221 its reverse (122422023), we get a palindrome (442646244).

The spelling of 320224221 in words is "three hundred twenty million, two hundred twenty-four thousand, two hundred twenty-one".