331012224 has 192 divisors, whose sum is σ = 1043052000. Its totient is φ = 103057920.

The previous prime is 331012223. The next prime is 331012259. The reversal of 331012224 is 422210133.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 331012197 and 331012206.

It is not an unprimeable number, because it can be changed into a prime (331012223) 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 23 ways as a sum of consecutive naturals, for example, 4662109 + ... + 4662179.

Almost surely, 2^331012224 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 331012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521526000).

331012224 is an abundant number, since it is smaller than the sum of its proper divisors (712039776).

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

331012224 is an equidigital number, since it uses as much as digits as its factorization.

331012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 95 counting only the distinct ones).

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

The square root of 331012224 is about 18193.7413414614. The cubic root of 331012224 is about 691.7481569895.

Adding to 331012224 its reverse (422210133), we get a palindrome (753222357).

The spelling of 331012224 in words is "three hundred thirty-one million, twelve thousand, two hundred twenty-four".