311045220 has 72 divisors (see below), whose sum is σ = 945008064. Its totient is φ = 82813248.

The previous prime is 311045197. The next prime is 311045233. The reversal of 311045220 is 22540113.

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 = 311045193 and 311045202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173167 + ... + 174953.

It is an arithmetic number, because the mean of its divisors is an integer number (13125112).

Almost surely, 2^311045220 is an apocalyptic number.

311045220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311045220 is an abundant number, since it is smaller than the sum of its proper divisors (633962844).

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

311045220 is a wasteful number, since it uses less digits than its factorization.

311045220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 311045220 is about 17636.4741374233. The cubic root of 311045220 is about 677.5497310571.

Adding to 311045220 its reverse (22540113), we get a palindrome (333585333).

The spelling of 311045220 in words is "three hundred eleven million, forty-five thousand, two hundred twenty".