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204033829 is a prime number
BaseRepresentation
bin11000010100101…
…00111100100101
3112012220222210111
430022110330211
5404213040304
632125053021
75025154546
oct1412247445
9465828714
10204033829
11a51986aa
12583b7171
133336a39c
141d1524cd
1512da4704
hexc294f25

204033829 has 2 divisors, whose sum is σ = 204033830. Its totient is φ = 204033828.

The previous prime is 204033793. The next prime is 204033857. The reversal of 204033829 is 928330402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199092100 + 4941729 = 14110^2 + 2223^2 .

It is a cyclic number.

It is not a de Polignac number, because 204033829 - 217 = 203902757 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204033829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204033889) 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, 102016914 + 102016915.

It is an arithmetic number, because the mean of its divisors is an integer number (102016915).

Almost surely, 2204033829 is an apocalyptic number.

It is an amenable number.

204033829 is a deficient number, since it is larger than the sum of its proper divisors (1).

204033829 is an equidigital number, since it uses as much as digits as its factorization.

204033829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 204033829 is about 14284.0410598682. The cubic root of 204033829 is about 588.7090696584.

The spelling of 204033829 in words is "two hundred four million, thirty-three thousand, eight hundred twenty-nine".