Search a number
-
+
218540213 is a prime number
BaseRepresentation
bin11010000011010…
…10100010110101
3120020012222210222
431001222202311
5421421241323
633404024125
75262363323
oct1501524265
9506188728
10218540213
111023a6551
1261232045
1336379148
142104ad13
15142bc9c8
hexd06a8b5

218540213 has 2 divisors, whose sum is σ = 218540214. Its totient is φ = 218540212.

The previous prime is 218540197. The next prime is 218540251. The reversal of 218540213 is 312045812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216472369 + 2067844 = 14713^2 + 1438^2 .

It is a cyclic number.

It is not a de Polignac number, because 218540213 - 24 = 218540197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218540813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109270106 + 109270107.

It is an arithmetic number, because the mean of its divisors is an integer number (109270107).

Almost surely, 2218540213 is an apocalyptic number.

It is an amenable number.

218540213 is a deficient number, since it is larger than the sum of its proper divisors (1).

218540213 is an equidigital number, since it uses as much as digits as its factorization.

218540213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 218540213 is about 14783.1056615313. The cubic root of 218540213 is about 602.3428886211.

The spelling of 218540213 in words is "two hundred eighteen million, five hundred forty thousand, two hundred thirteen".