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218805133 is a prime number
BaseRepresentation
bin11010000101010…
…11001110001101
3120020201110012211
431002223032031
5422003231013
633413430421
75264545561
oct1502531615
9506643184
10218805133
11102567598
126133b411
133643c8c1
14210b96a1
151432123d
hexd0ab38d

218805133 has 2 divisors, whose sum is σ = 218805134. Its totient is φ = 218805132.

The previous prime is 218805127. The next prime is 218805137. The reversal of 218805133 is 331508812.

218805133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214856964 + 3948169 = 14658^2 + 1987^2 .

It is a cyclic number.

It is not a de Polignac number, because 218805133 - 225 = 185250701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218805095 and 218805104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218805137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109402566 + 109402567.

It is an arithmetic number, because the mean of its divisors is an integer number (109402567).

Almost surely, 2218805133 is an apocalyptic number.

It is an amenable number.

218805133 is a deficient number, since it is larger than the sum of its proper divisors (1).

218805133 is an equidigital number, since it uses as much as digits as its factorization.

218805133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 218805133 is about 14792.0631759062. The cubic root of 218805133 is about 602.5861821244.

The spelling of 218805133 in words is "two hundred eighteen million, eight hundred five thousand, one hundred thirty-three".