Search a number
-
+
2246760017 is a prime number
BaseRepresentation
bin1000010111101010…
…1101011001010001
312210120200020022222
42011322231121101
514100132310032
61010535510425
7106451100515
oct20572553121
95716606288
102246760017
11a53268067
12528528415
1329a6240c8
14174570145
15d23a6a12
hex85ead651

2246760017 has 2 divisors, whose sum is σ = 2246760018. Its totient is φ = 2246760016.

The previous prime is 2246759987. The next prime is 2246760041. The reversal of 2246760017 is 7100676422.

2246760017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1389500176 + 857259841 = 37276^2 + 29279^2 .

It is a cyclic number.

It is not a de Polignac number, because 2246760017 - 26 = 2246759953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2246760917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123380008 + 1123380009.

It is an arithmetic number, because the mean of its divisors is an integer number (1123380009).

Almost surely, 22246760017 is an apocalyptic number.

It is an amenable number.

2246760017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246760017 is an equidigital number, since it uses as much as digits as its factorization.

2246760017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 2246760017 is about 47400.0001793249. Note that the first 3 decimals coincide. The cubic root of 2246760017 is about 1309.7414203220.

The spelling of 2246760017 in words is "two billion, two hundred forty-six million, seven hundred sixty thousand, seventeen".