Search a number
-
+
214808213 is a prime number
BaseRepresentation
bin11001100110110…
…11011010010101
3112222012101110202
430303123122111
5414442330323
633152030245
75215561004
oct1463333225
9488171422
10214808213
11100287654
125bb32385
1335670569
1420758c3b
1513cd1d28
hexccdb695

214808213 has 2 divisors, whose sum is σ = 214808214. Its totient is φ = 214808212.

The previous prime is 214808179. The next prime is 214808219. The reversal of 214808213 is 312808412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186950929 + 27857284 = 13673^2 + 5278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214808213 is a prime.

It is a super-2 number, since 2×2148082132 = 92285136744506738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214808219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107404106 + 107404107.

It is an arithmetic number, because the mean of its divisors is an integer number (107404107).

Almost surely, 2214808213 is an apocalyptic number.

It is an amenable number.

214808213 is a deficient number, since it is larger than the sum of its proper divisors (1).

214808213 is an equidigital number, since it uses as much as digits as its factorization.

214808213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 214808213 is about 14656.3369570981. The cubic root of 214808213 is about 598.8944577301.

The spelling of 214808213 in words is "two hundred fourteen million, eight hundred eight thousand, two hundred thirteen".