Search a number
-
+
218117201 is a prime number
BaseRepresentation
bin11010000000000…
…11010001010001
3120012102111112212
431000003101101
5421314222301
633351001505
75255652131
oct1500032121
9505374485
10218117201
11102137755
1261069295
133625b743
1420d7aac1
15142374bb
hexd003451

218117201 has 2 divisors, whose sum is σ = 218117202. Its totient is φ = 218117200.

The previous prime is 218117173. The next prime is 218117203. The reversal of 218117201 is 102711812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140659600 + 77457601 = 11860^2 + 8801^2 .

It is a cyclic number.

It is not a de Polignac number, because 218117201 - 210 = 218116177 is a prime.

It is a super-2 number, since 2×2181172012 = 95150226744148802, which contains 22 as substring.

Together with 218117203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (218117203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109058600 + 109058601.

It is an arithmetic number, because the mean of its divisors is an integer number (109058601).

Almost surely, 2218117201 is an apocalyptic number.

It is an amenable number.

218117201 is a deficient number, since it is larger than the sum of its proper divisors (1).

218117201 is an equidigital number, since it uses as much as digits as its factorization.

218117201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

The square root of 218117201 is about 14768.7914536024. The cubic root of 218117201 is about 601.9540008561.

The spelling of 218117201 in words is "two hundred eighteen million, one hundred seventeen thousand, two hundred one".