Search a number
-
+
218116841 is a prime number
BaseRepresentation
bin11010000000000…
…11001011101001
3120012102111001112
431000003023221
5421314214331
633351000105
75255651105
oct1500031351
9505374045
10218116841
11102137458
1261069035
133625b527
1420d7a905
151423732b
hexd0032e9

218116841 has 2 divisors, whose sum is σ = 218116842. Its totient is φ = 218116840.

The previous prime is 218116831. The next prime is 218116883. The reversal of 218116841 is 148611812.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212547241 + 5569600 = 14579^2 + 2360^2 .

It is a cyclic number.

It is not a de Polignac number, because 218116841 - 214 = 218100457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 218116798 and 218116807.

It is not a weakly prime, because it can be changed into another prime (218116831) 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, 109058420 + 109058421.

It is an arithmetic number, because the mean of its divisors is an integer number (109058421).

Almost surely, 2218116841 is an apocalyptic number.

It is an amenable number.

218116841 is a deficient number, since it is larger than the sum of its proper divisors (1).

218116841 is an equidigital number, since it uses as much as digits as its factorization.

218116841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 32.

The square root of 218116841 is about 14768.7792657349. The cubic root of 218116841 is about 601.9536696831.

The spelling of 218116841 in words is "two hundred eighteen million, one hundred sixteen thousand, eight hundred forty-one".