313222320 has 240 divisors, whose sum is σ = 1099667712. Its totient is φ = 79833600.

The previous prime is 313222313. The next prime is 313222333. The reversal of 313222320 is 23222313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313222293 and 313222302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2074245 + ... + 2074395.

Almost surely, 2^313222320 is an apocalyptic number.

313222320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549833856).

313222320 is an abundant number, since it is smaller than the sum of its proper divisors (786445392).

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

313222320 is a wasteful number, since it uses less digits than its factorization.

313222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313222320 is about 17698.0880323271. The cubic root of 313222320 is about 679.1268493266.

Adding to 313222320 its reverse (23222313), we get a palindrome (336444633).

It can be divided in two parts, 3132 and 22320, that added together give a palindrome (25452).

The spelling of 313222320 in words is "three hundred thirteen million, two hundred twenty-two thousand, three hundred twenty".