220131296 has 96 divisors (see below), whose sum is σ = 553754880. Its totient is φ = 83635200.

The previous prime is 220131271. The next prime is 220131323. The reversal of 220131296 is 692131022.

220131296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99935 + ... + 102113.

It is an arithmetic number, because the mean of its divisors is an integer number (5768280).

Almost surely, 2^220131296 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 220131296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276877440).

220131296 is an abundant number, since it is smaller than the sum of its proper divisors (333623584).

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

220131296 is a wasteful number, since it uses less digits than its factorization.

220131296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 220131296 is about 14836.8223012881. The cubic root of 220131296 is about 603.8011420856.

The spelling of 220131296 in words is "two hundred twenty million, one hundred thirty-one thousand, two hundred ninety-six".