220403313 has 24 divisors (see below), whose sum is σ = 343353192. Its totient is φ = 135433728.

The previous prime is 220403243. The next prime is 220403329. The reversal of 220403313 is 313304022.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 198049329 = 4728^2 + 14073^2 .

It is not a de Polignac number, because 220403313 - 2²⁵ = 186848881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220403353) 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, 141145 + ... + 142697.

It is an arithmetic number, because the mean of its divisors is an integer number (14306383).

Almost surely, 2^220403313 is an apocalyptic number.

It is an amenable number.

220403313 is a deficient number, since it is larger than the sum of its proper divisors (122949879).

220403313 is a wasteful number, since it uses less digits than its factorization.

220403313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 220403313 is about 14845.9864273143. The cubic root of 220403313 is about 604.0497460964.

Adding to 220403313 its reverse (313304022), we get a palindrome (533707335).

The spelling of 220403313 in words is "two hundred twenty million, four hundred three thousand, three hundred thirteen".