305305220 has 48 divisors (see below), whose sum is σ = 729848448. Its totient is φ = 106191360.

The previous prime is 305305213. The next prime is 305305237. The reversal of 305305220 is 22503503.

It is a super-2 number, since 2×305305220² = 186422554718496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 305305192 and 305305201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25109 + ... + 35228.

It is an arithmetic number, because the mean of its divisors is an integer number (15205176).

Almost surely, 2^305305220 is an apocalyptic number.

It is an amenable number.

305305220 is an abundant number, since it is smaller than the sum of its proper divisors (424543228).

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

305305220 is a wasteful number, since it uses less digits than its factorization.

305305220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60380 (or 60378 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 305305220 is about 17472.9854346646. The cubic root of 305305220 is about 673.3560138969.

Adding to 305305220 its reverse (22503503), we get a palindrome (327808723).

The spelling of 305305220 in words is "three hundred five million, three hundred five thousand, two hundred twenty".