220413320 has 32 divisors (see below), whose sum is σ = 497047320. Its totient is φ = 87966720.

The previous prime is 220413307. The next prime is 220413331. The reversal of 220413320 is 23314022.

It can be written as a sum of positive squares in 4 ways, for example, as 198753604 + 21659716 = 14098^2 + 4654^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12464 + ... + 24416.

Almost surely, 2^220413320 is an apocalyptic number.

220413320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220413320 is an abundant number, since it is smaller than the sum of its proper divisors (276634000).

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

220413320 is a wasteful number, since it uses less digits than its factorization.

220413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 220413320 is about 14846.3234506055. The cubic root of 220413320 is about 604.0588878742.

Adding to 220413320 its reverse (23314022), we get a palindrome (243727342).

The spelling of 220413320 in words is "two hundred twenty million, four hundred thirteen thousand, three hundred twenty".