330233200 has 90 divisors (see below), whose sum is σ = 872195912. Its totient is φ = 120067200.

The previous prime is 330233191. The next prime is 330233203. The reversal of 330233200 is 2332033.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330233203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44989 + ... + 51811.

Almost surely, 2^330233200 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 330233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436097956).

330233200 is an abundant number, since it is smaller than the sum of its proper divisors (541962712).

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

330233200 is a wasteful number, since it uses less digits than its factorization.

330233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 330233200 is about 18172.3196097801. The cubic root of 330233200 is about 691.2050635310.

Adding to 330233200 its reverse (2332033), we get a palindrome (332565233).

It can be divided in two parts, 3 and 30233200, that added together give a palindrome (30233203).

The spelling of 330233200 in words is "three hundred thirty million, two hundred thirty-three thousand, two hundred".