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208084319 is a prime number
BaseRepresentation
bin11000110011100…
…01110101011111
3112111112210000122
430121301311133
5411232144234
632351545155
75104454552
oct1431616537
9474483018
10208084319
11a7504913
125982b1bb
1334157c21
141d8c8699
151340492e
hexc671d5f

208084319 has 2 divisors, whose sum is σ = 208084320. Its totient is φ = 208084318.

The previous prime is 208084313. The next prime is 208084321. The reversal of 208084319 is 913480802.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208084319 is a prime.

It is a super-2 number, since 2×2080843192 = 86598167627387522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 208084321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208084313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104042159 + 104042160.

It is an arithmetic number, because the mean of its divisors is an integer number (104042160).

Almost surely, 2208084319 is an apocalyptic number.

208084319 is a deficient number, since it is larger than the sum of its proper divisors (1).

208084319 is an equidigital number, since it uses as much as digits as its factorization.

208084319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 208084319 is about 14425.1280410262. The cubic root of 208084319 is about 592.5792652711.

The spelling of 208084319 in words is "two hundred eight million, eighty-four thousand, three hundred nineteen".