220540329 has 12 divisors (see below), whose sum is σ = 318687876. Its totient is φ = 146967072.

The previous prime is 220540291. The next prime is 220540339. The reversal of 220540329 is 923045022.

220540329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 172265625 = 6948^2 + 13125^2 .

It is not a de Polignac number, because 220540329 - 2¹⁷ = 220409257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220540339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36787 + ... + 42359.

It is an arithmetic number, because the mean of its divisors is an integer number (26557323).

Almost surely, 2^220540329 is an apocalyptic number.

It is an amenable number.

220540329 is a deficient number, since it is larger than the sum of its proper divisors (98147547).

220540329 is a wasteful number, since it uses less digits than its factorization.

220540329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 220540329 is about 14850.6002908973. The cubic root of 220540329 is about 604.1748914256.

The spelling of 220540329 in words is "two hundred twenty million, five hundred forty thousand, three hundred twenty-nine".