331214220 has 144 divisors (see below), whose sum is σ = 1050809760. Its totient is φ = 84338688.

The previous prime is 331214203. The next prime is 331214231. The reversal of 331214220 is 22412133.

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 = 331214193 and 331214202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558244 + ... + 558836.

It is an arithmetic number, because the mean of its divisors is an integer number (7297290).

Almost surely, 2^331214220 is an apocalyptic number.

331214220 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 331214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525404880).

331214220 is an abundant number, since it is smaller than the sum of its proper divisors (719595540).

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

331214220 is a wasteful number, since it uses less digits than its factorization.

331214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 331214220 is about 18199.2917444608. The cubic root of 331214220 is about 691.8888385488. Note that the first 4 decimals are identical.

Adding to 331214220 its reverse (22412133), we get a palindrome (353626353).

The spelling of 331214220 in words is "three hundred thirty-one million, two hundred fourteen thousand, two hundred twenty".