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218638141 is a prime number
BaseRepresentation
bin11010000100000…
…10011100111101
3120020101222010221
431002002130331
5421432410031
633410101341
75263251661
oct1502023475
9506358127
10218638141
11102463087
126127a851
13363b18a7
14210748a1
15142dba11
hexd08273d

218638141 has 2 divisors, whose sum is σ = 218638142. Its totient is φ = 218638140.

The previous prime is 218638127. The next prime is 218638151. The reversal of 218638141 is 141836812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129732100 + 88906041 = 11390^2 + 9429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218638141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218638097 and 218638106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218638151) 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, 109319070 + 109319071.

It is an arithmetic number, because the mean of its divisors is an integer number (109319071).

Almost surely, 2218638141 is an apocalyptic number.

It is an amenable number.

218638141 is a deficient number, since it is larger than the sum of its proper divisors (1).

218638141 is an equidigital number, since it uses as much as digits as its factorization.

218638141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 34.

The square root of 218638141 is about 14786.4174498085. The cubic root of 218638141 is about 602.4328452553.

The spelling of 218638141 in words is "two hundred eighteen million, six hundred thirty-eight thousand, one hundred forty-one".