Search a number
-
+
2205085117 is a prime number
BaseRepresentation
bin1000001101101110…
…1110110110111101
312200200020221010011
42003123232312331
514004000210432
61002450343221
7105433625404
oct20333566675
95620227104
102205085117
11a317930a4
1251658ab11
13291ac20c1
1416cc0263b
15cd8c3847
hex836eedbd

2205085117 has 2 divisors, whose sum is σ = 2205085118. Its totient is φ = 2205085116.

The previous prime is 2205085097. The next prime is 2205085213. The reversal of 2205085117 is 7115805022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2167274916 + 37810201 = 46554^2 + 6149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2205085117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205085517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102542558 + 1102542559.

It is an arithmetic number, because the mean of its divisors is an integer number (1102542559).

Almost surely, 22205085117 is an apocalyptic number.

It is an amenable number.

2205085117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205085117 is an equidigital number, since it uses as much as digits as its factorization.

2205085117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 2205085117 is about 46958.3338396924. Note that the first 3 decimals coincide. The cubic root of 2205085117 is about 1301.5927454224.

It can be divided in two parts, 220508 and 5117, that added together give a square (225625 = 4752).

The spelling of 2205085117 in words is "two billion, two hundred five million, eighty-five thousand, one hundred seventeen".