310142220 has 96 divisors (see below), whose sum is σ = 936992448. Its totient is φ = 76357632.

The previous prime is 310142201. The next prime is 310142227. The reversal of 310142220 is 22241013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 310142220.

It is not an unprimeable number, because it can be changed into a prime (310142227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51192 + ... + 56928.

It is an arithmetic number, because the mean of its divisors is an integer number (9760338).

Almost surely, 2^310142220 is an apocalyptic number.

310142220 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 310142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468496224).

310142220 is an abundant number, since it is smaller than the sum of its proper divisors (626850228).

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

310142220 is a wasteful number, since it uses less digits than its factorization.

310142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 310142220 is about 17610.8551751469. The cubic root of 310142220 is about 676.8934273078.

Adding to 310142220 its reverse (22241013), we get a palindrome (332383233).

The spelling of 310142220 in words is "three hundred ten million, one hundred forty-two thousand, two hundred twenty".