Search a number
-
+
218313649 is a prime number
BaseRepresentation
bin11010000001100…
…11001110110001
3120012210111000201
431000303032301
5421342014044
633355115201
75260430641
oct1500631661
9505714021
10218313649
11102261304
1261142b01
13362c9c98
1420dcc521
15142757d4
hexd0333b1

218313649 has 2 divisors, whose sum is σ = 218313650. Its totient is φ = 218313648.

The previous prime is 218313607. The next prime is 218313661. The reversal of 218313649 is 946313812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170772624 + 47541025 = 13068^2 + 6895^2 .

It is a cyclic number.

It is not a de Polignac number, because 218313649 - 27 = 218313521 is a prime.

It is not a weakly prime, because it can be changed into another prime (218311649) 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, 109156824 + 109156825.

It is an arithmetic number, because the mean of its divisors is an integer number (109156825).

Almost surely, 2218313649 is an apocalyptic number.

It is an amenable number.

218313649 is a deficient number, since it is larger than the sum of its proper divisors (1).

218313649 is an equidigital number, since it uses as much as digits as its factorization.

218313649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The square root of 218313649 is about 14775.4407379272. The cubic root of 218313649 is about 602.1346639357.

The spelling of 218313649 in words is "two hundred eighteen million, three hundred thirteen thousand, six hundred forty-nine".