Search a number
-
+
208397213 is a prime number
BaseRepresentation
bin11000110101111…
…10001110011101
3112112010200020022
430122332032131
5411322202323
632402401525
75110230023
oct1432761635
9475120208
10208397213
11a76a8a02
12599602a5
133423747b
141d96a713
15134674c8
hexc6be39d

208397213 has 2 divisors, whose sum is σ = 208397214. Its totient is φ = 208397212.

The previous prime is 208397197. The next prime is 208397249. The reversal of 208397213 is 312793802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105719524 + 102677689 = 10282^2 + 10133^2 .

It is a cyclic number.

It is not a de Polignac number, because 208397213 - 24 = 208397197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208394213) 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, 104198606 + 104198607.

It is an arithmetic number, because the mean of its divisors is an integer number (104198607).

Almost surely, 2208397213 is an apocalyptic number.

It is an amenable number.

208397213 is a deficient number, since it is larger than the sum of its proper divisors (1).

208397213 is an equidigital number, since it uses as much as digits as its factorization.

208397213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 208397213 is about 14435.9694167035. The cubic root of 208397213 is about 592.8761347323.

The spelling of 208397213 in words is "two hundred eight million, three hundred ninety-seven thousand, two hundred thirteen".