313220000 has 60 divisors (see below), whose sum is σ = 770617386. Its totient is φ = 125280000.

The previous prime is 313219969. The next prime is 313220009. The reversal of 313220000 is 22313.

It can be written as a sum of positive squares in 5 ways, for example, as 60155536 + 253064464 = 7756^2 + 15908^2 .

It is not an unprimeable number, because it can be changed into a prime (313220009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12170 + ... + 27830.

Almost surely, 2^313220000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385308693).

313220000 is an abundant number, since it is smaller than the sum of its proper divisors (457397386).

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

313220000 is an equidigital number, since it uses as much as digits as its factorization.

313220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15691 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 313220000 is about 17698.0224884025. The cubic root of 313220000 is about 679.1251725855.

Adding to 313220000 its reverse (22313), we get a palindrome (313242313).

It can be divided in two parts, 3132 and 20000, that added together give a palindrome (23132).

The spelling of 313220000 in words is "three hundred thirteen million, two hundred twenty thousand".