330218100 has 288 divisors, whose sum is σ = 1152009600. Its totient is φ = 80870400.

The previous prime is 330218093. The next prime is 330218101. The reversal of 330218100 is 1812033.

It is a super-2 number, since 2×330218100² = 218087987135220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330218101) 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 95 ways as a sum of consecutive naturals, for example, 2103222 + ... + 2103378.

Almost surely, 2^330218100 is an apocalyptic number.

330218100 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 330218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576004800).

330218100 is an abundant number, since it is smaller than the sum of its proper divisors (821791500).

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

330218100 is a wasteful number, since it uses less digits than its factorization.

330218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 330218100 is about 18171.9041379818. The cubic root of 330218100 is about 691.1945281926.

The spelling of 330218100 in words is "three hundred thirty million, two hundred eighteen thousand, one hundred".