220345100 has 36 divisors (see below), whose sum is σ = 482640984. Its totient is φ = 87310080.

The previous prime is 220345087. The next prime is 220345121. The reversal of 220345100 is 1543022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404 + ... + 20996.

It is an arithmetic number, because the mean of its divisors is an integer number (13406694).

Almost surely, 2^220345100 is an apocalyptic number.

220345100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241320492).

220345100 is an abundant number, since it is smaller than the sum of its proper divisors (262295884).

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

220345100 is a wasteful number, since it uses less digits than its factorization.

220345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20714 (or 20707 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 220345100 is about 14844.0257342811. The cubic root of 220345100 is about 603.9965608038.

Adding to 220345100 its reverse (1543022), we get a palindrome (221888122).

The spelling of 220345100 in words is "two hundred twenty million, three hundred forty-five thousand, one hundred".