330223120 has 40 divisors (see below), whose sum is σ = 769622616. Its totient is φ = 131770368.

The previous prime is 330223111. The next prime is 330223139. The reversal of 330223120 is 21322033.

330223120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 328044544 = 1476^2 + 18112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 330223094 and 330223103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29874 + ... + 39406.

Almost surely, 2^330223120 is an apocalyptic number.

It is an amenable number.

330223120 is an abundant number, since it is smaller than the sum of its proper divisors (439399496).

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

330223120 is a wasteful number, since it uses less digits than its factorization.

330223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 330223120 is about 18172.0422627728. The cubic root of 330223120 is about 691.1980307050.

Adding to 330223120 its reverse (21322033), we get a palindrome (351545153).

The spelling of 330223120 in words is "three hundred thirty million, two hundred twenty-three thousand, one hundred twenty".