220505010 has 64 divisors (see below), whose sum is σ = 578755584. Its totient is φ = 53323200.

The previous prime is 220504981. The next prime is 220505027. The reversal of 220505010 is 10505022.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 227547 + ... + 228513.

It is an arithmetic number, because the mean of its divisors is an integer number (9043056).

Almost surely, 2^220505010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220505010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289377792).

220505010 is an abundant number, since it is smaller than the sum of its proper divisors (358250574).

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

220505010 is a wasteful number, since it uses less digits than its factorization.

220505010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 220505010 is about 14849.4110994342. The cubic root of 220505010 is about 604.1426373215.

The spelling of 220505010 in words is "two hundred twenty million, five hundred five thousand, ten".