303201220 has 72 divisors (see below), whose sum is σ = 743394456. Its totient is φ = 103574016.

The previous prime is 303201209. The next prime is 303201229. The reversal of 303201220 is 22102303.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 180257476 + 122943744 = 13426^2 + 11088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 303201220.

It is not an unprimeable number, because it can be changed into a prime (303201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447522 + ... + 448198.

It is an arithmetic number, because the mean of its divisors is an integer number (10324923).

Almost surely, 2^303201220 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 303201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371697228).

303201220 is an abundant number, since it is smaller than the sum of its proper divisors (440193236).

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

303201220 is a wasteful number, since it uses less digits than its factorization.

303201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 303201220 is about 17412.6741197324. The cubic root of 303201220 is about 671.8056440252.

Adding to 303201220 its reverse (22102303), we get a palindrome (325303523).

The spelling of 303201220 in words is "three hundred three million, two hundred one thousand, two hundred twenty".