330242220 has 144 divisors (see below), whose sum is σ = 1248968448. Its totient is φ = 68618880.

The previous prime is 330242203. The next prime is 330242233. The reversal of 330242220 is 22242033.

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 = 330242193 and 330242202.

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, 1947 + ... + 25773.

It is an arithmetic number, because the mean of its divisors is an integer number (8673392).

Almost surely, 2^330242220 is an apocalyptic number.

330242220 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 330242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624484224).

330242220 is an abundant number, since it is smaller than the sum of its proper divisors (918726228).

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

330242220 is a wasteful number, since it uses less digits than its factorization.

330242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23860 (or 23855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 330242220 is about 18172.5677877398. The cubic root of 330242220 is about 691.2113566727.

Adding to 330242220 its reverse (22242033), we get a palindrome (352484253).

The spelling of 330242220 in words is "three hundred thirty million, two hundred forty-two thousand, two hundred twenty".