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204000217 is a prime number
BaseRepresentation
bin11000010100011…
…00101111011001
3112012212021200121
430022030233121
5404211001332
632124233241
75024654551
oct1412145731
9465767617
10204000217
11a5175423
125839b821
1333357cb5
141d144161
1512d99797
hexc28cbd9

204000217 has 2 divisors, whose sum is σ = 204000218. Its totient is φ = 204000216.

The previous prime is 204000191. The next prime is 204000241. The reversal of 204000217 is 712000402.

204000217 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., 106069401 + 97930816 = 10299^2 + 9896^2 .

It is a cyclic number.

It is not a de Polignac number, because 204000217 - 211 = 203998169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204000217.

It is not a weakly prime, because it can be changed into another prime (204004217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102000108 + 102000109.

It is an arithmetic number, because the mean of its divisors is an integer number (102000109).

Almost surely, 2204000217 is an apocalyptic number.

It is an amenable number.

204000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

204000217 is an equidigital number, since it uses as much as digits as its factorization.

204000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 204000217 is about 14282.8644536031. The cubic root of 204000217 is about 588.6767404183.

Adding to 204000217 its reverse (712000402), we get a palindrome (916000619).

The spelling of 204000217 in words is "two hundred four million, two hundred seventeen", and thus it is an aban number.