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218952961 is a prime number
BaseRepresentation
bin11010000110011…
…11010100000001
3120020222221222221
431003033110001
5422022443321
633420531041
75266032553
oct1503172401
9506887887
10218952961
11102658667
12613b0a81
1336491c86
14211174d3
151434ee41
hexd0cf501

218952961 has 2 divisors, whose sum is σ = 218952962. Its totient is φ = 218952960.

The previous prime is 218952917. The next prime is 218953001. The reversal of 218952961 is 169259812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208513600 + 10439361 = 14440^2 + 3231^2 .

It is a cyclic number.

It is not a de Polignac number, because 218952961 - 211 = 218950913 is a prime.

It is not a weakly prime, because it can be changed into another prime (218952361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109476480 + 109476481.

It is an arithmetic number, because the mean of its divisors is an integer number (109476481).

Almost surely, 2218952961 is an apocalyptic number.

It is an amenable number.

218952961 is a deficient number, since it is larger than the sum of its proper divisors (1).

218952961 is an equidigital number, since it uses as much as digits as its factorization.

218952961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 77760, while the sum is 43.

The square root of 218952961 is about 14797.0592010710. The cubic root of 218952961 is about 602.7218569680.

The spelling of 218952961 in words is "two hundred eighteen million, nine hundred fifty-two thousand, nine hundred sixty-one".