331011220 has 48 divisors (see below), whose sum is σ = 722993040. Its totient is φ = 127145984.

The previous prime is 331011167. The next prime is 331011251. The reversal of 331011220 is 22110133.

It can be written as a sum of positive squares in 8 ways, for example, as 571536 + 330439684 = 756^2 + 18178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112812 + ... + 115708.

It is an arithmetic number, because the mean of its divisors is an integer number (15062355).

Almost surely, 2^331011220 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 331011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361496520).

331011220 is an abundant number, since it is smaller than the sum of its proper divisors (391981820).

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

331011220 is a wasteful number, since it uses less digits than its factorization.

331011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 331011220 is about 18193.7137495345. The cubic root of 331011220 is about 691.7474576036.

Adding to 331011220 its reverse (22110133), we get a palindrome (353121353).

The spelling of 331011220 in words is "three hundred thirty-one million, eleven thousand, two hundred twenty".