2205100017 has 10 divisors (see below), whose sum is σ = 3294038418. Its totient is φ = 1470066624.

The previous prime is 2205099991. The next prime is 2205100069. The reversal of 2205100017 is 7100015022.

It can be written as a sum of positive squares in only one way, i.e., 2191082481 + 14017536 = 46809^2 + 3744^2 .

It is not a de Polignac number, because 2205100017 - 2⁷ = 2205099889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2205100217) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13611648 + ... + 13611809.

Almost surely, 2^2205100017 is an apocalyptic number.

2205100017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2205100017 is a deficient number, since it is larger than the sum of its proper divisors (1088938401).

2205100017 is an equidigital number, since it uses as much as digits as its factorization.

2205100017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27223469 (or 27223460 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2205100017 is about 46958.4924907093. The cubic root of 2205100017 is about 1301.5956770837.

Adding to 2205100017 its reverse (7100015022), we get a palindrome (9305115039).

The spelling of 2205100017 in words is "two billion, two hundred five million, one hundred thousand, seventeen".