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208147213 is a prime number
BaseRepresentation
bin11000110100000…
…01001100001101
3112111122222022001
430122001030031
5411241202323
632353152301
75105136121
oct1432011415
9474588261
10208147213
11a754809a
125985b691
133417a741
141d903581
15134183ad
hexc68130d

208147213 has 2 divisors, whose sum is σ = 208147214. Its totient is φ = 208147212.

The previous prime is 208147193. The next prime is 208147253. The reversal of 208147213 is 312741802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184362084 + 23785129 = 13578^2 + 4877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208147213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208147253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104073606 + 104073607.

It is an arithmetic number, because the mean of its divisors is an integer number (104073607).

Almost surely, 2208147213 is an apocalyptic number.

It is an amenable number.

208147213 is a deficient number, since it is larger than the sum of its proper divisors (1).

208147213 is an equidigital number, since it uses as much as digits as its factorization.

208147213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 208147213 is about 14427.3078916338. The cubic root of 208147213 is about 592.6389621065.

It can be divided in two parts, 2081 and 47213, that added together give a palindrome (49294).

The spelling of 208147213 in words is "two hundred eight million, one hundred forty-seven thousand, two hundred thirteen".