Search a number
-
+
208516369 is a prime number
BaseRepresentation
bin11000110110110…
…11010100010001
3112112100201200111
430123123110101
5411340010434
632405121321
75111234305
oct1433332421
9475321614
10208516369
11a777a486
12599b9241
1334279789
141d99bd05
151348c964
hexc6db511

208516369 has 2 divisors, whose sum is σ = 208516370. Its totient is φ = 208516368.

The previous prime is 208516327. The next prime is 208516387. The reversal of 208516369 is 963615802.

208516369 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., 195664144 + 12852225 = 13988^2 + 3585^2 .

It is a cyclic number.

It is not a de Polignac number, because 208516369 - 213 = 208508177 is a prime.

It is a super-2 number, since 2×2085163692 = 86958152281888322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (208516069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104258184 + 104258185.

It is an arithmetic number, because the mean of its divisors is an integer number (104258185).

Almost surely, 2208516369 is an apocalyptic number.

It is an amenable number.

208516369 is a deficient number, since it is larger than the sum of its proper divisors (1).

208516369 is an equidigital number, since it uses as much as digits as its factorization.

208516369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 208516369 is about 14440.0958791831. The cubic root of 208516369 is about 592.9891101534.

The spelling of 208516369 in words is "two hundred eight million, five hundred sixteen thousand, three hundred sixty-nine".