320221312 has 32 divisors (see below), whose sum is σ = 638998380. Its totient is φ = 159845376.

The previous prime is 320221303. The next prime is 320221313. The reversal of 320221312 is 213122023.

It can be written as a sum of positive squares in 2 ways, for example, as 220700736 + 99520576 = 14856^2 + 9976^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (320221313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92118 + ... + 95530.

Almost surely, 2^320221312 is an apocalyptic number.

320221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320221312 is a deficient number, since it is larger than the sum of its proper divisors (318777068).

320221312 is an equidigital number, since it uses as much as digits as its factorization.

320221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4148 counting only the distinct ones).

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

The square root of 320221312 is about 17894.7286092860. The cubic root of 320221312 is about 684.1480249155.

Adding to 320221312 its reverse (213122023), we get a palindrome (533343335).

The spelling of 320221312 in words is "three hundred twenty million, two hundred twenty-one thousand, three hundred twelve".