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208768213 is a prime number
BaseRepresentation
bin11000111000110…
…00110011010101
3112112211112011001
430130120303111
5411421040323
632414343301
75113333453
oct1434306325
9475745131
10208768213
11a7931715
1259abab31
13343372b4
141da259d3
15134dc3ad
hexc718cd5

208768213 has 2 divisors, whose sum is σ = 208768214. Its totient is φ = 208768212.

The previous prime is 208768207. The next prime is 208768283. The reversal of 208768213 is 312867802.

208768213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197599249 + 11168964 = 14057^2 + 3342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208768213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208768283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104384106 + 104384107.

It is an arithmetic number, because the mean of its divisors is an integer number (104384107).

Almost surely, 2208768213 is an apocalyptic number.

It is an amenable number.

208768213 is a deficient number, since it is larger than the sum of its proper divisors (1).

208768213 is an equidigital number, since it uses as much as digits as its factorization.

208768213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 208768213 is about 14448.8135499078. The cubic root of 208768213 is about 593.2277495568.

It can be divided in two parts, 208768 and 213, that added together give a triangular number (208981 = T646).

The spelling of 208768213 in words is "two hundred eight million, seven hundred sixty-eight thousand, two hundred thirteen".