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208319 is a prime number
BaseRepresentation
bin110010110110111111
3101120202112
4302312333
523131234
64244235
71525226
oct626677
9346675
10208319
11132571
12a067b
1373a87
1455cbd
1541ace
hex32dbf

208319 has 2 divisors, whose sum is σ = 208320. Its totient is φ = 208318.

The previous prime is 208309. The next prime is 208333. The reversal of 208319 is 913802.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208319 is a prime.

It is a super-2 number, since 2×2083192 = 86793611522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 208294 and 208303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104159 + 104160.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2208319 is an apocalyptic number.

208319 is a deficient number, since it is larger than the sum of its proper divisors (1).

208319 is an equidigital number, since it uses as much as digits as its factorization.

208319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 208319 is about 456.4197629376. The cubic root of 208319 is about 59.2801955200.

The spelling of 208319 in words is "two hundred eight thousand, three hundred nineteen".