220584231309 has 16 divisors (see below), whose sum is σ = 316761419072. Its totient is φ = 135733390848.

The previous prime is 220584231193. The next prime is 220584231379. The reversal of 220584231309 is 903132485022.

220584231309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220584231309 - 2¹⁹ = 220583707021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220584231379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289629 + ... + 724605.

It is an arithmetic number, because the mean of its divisors is an integer number (19797588692).

Almost surely, 2^220584231309 is an apocalyptic number.

It is an amenable number.

220584231309 is a deficient number, since it is larger than the sum of its proper divisors (96177187763).

220584231309 is a wasteful number, since it uses less digits than its factorization.

220584231309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447996.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 220584231309 in words is "two hundred twenty billion, five hundred eighty-four million, two hundred thirty-one thousand, three hundred nine".