313505220 has 96 divisors (see below), whose sum is σ = 1013096448. Its totient is φ = 70952832.

The previous prime is 313505191. The next prime is 313505221. The reversal of 313505220 is 22505313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (313505221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39637 + ... + 46883.

It is an arithmetic number, because the mean of its divisors is an integer number (10553088).

Almost surely, 2^313505220 is an apocalyptic number.

313505220 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 313505220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506548224).

313505220 is an abundant number, since it is smaller than the sum of its proper divisors (699591228).

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

313505220 is a wasteful number, since it uses less digits than its factorization.

313505220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 313505220 is about 17706.0786172433. The cubic root of 313505220 is about 679.3312485243.

The spelling of 313505220 in words is "three hundred thirteen million, five hundred five thousand, two hundred twenty".