Search a number
-
+
218828513 is a prime number
BaseRepresentation
bin11010000101100…
…00111011100001
3120020202122021202
431002300323201
5422010003023
633414130545
75265004001
oct1502607341
9506678252
10218828513
11102583112
1261350a55
133644a437
14210c4001
1514328128
hexd0b0ee1

218828513 has 2 divisors, whose sum is σ = 218828514. Its totient is φ = 218828512.

The previous prime is 218828503. The next prime is 218828551. The reversal of 218828513 is 315828812.

It is a happy number.

It is an a-pointer prime, because the next prime (218828551) can be obtained adding 218828513 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187333969 + 31494544 = 13687^2 + 5612^2 .

It is a cyclic number.

It is not a de Polignac number, because 218828513 - 210 = 218827489 is a prime.

It is not a weakly prime, because it can be changed into another prime (218828503) 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, 109414256 + 109414257.

It is an arithmetic number, because the mean of its divisors is an integer number (109414257).

Almost surely, 2218828513 is an apocalyptic number.

It is an amenable number.

218828513 is a deficient number, since it is larger than the sum of its proper divisors (1).

218828513 is an equidigital number, since it uses as much as digits as its factorization.

218828513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30720, while the sum is 38.

The square root of 218828513 is about 14792.8534434706. The cubic root of 218828513 is about 602.6076440877.

The spelling of 218828513 in words is "two hundred eighteen million, eight hundred twenty-eight thousand, five hundred thirteen".