Search a number
-
+
205152229 is a prime number
BaseRepresentation
bin11000011101001…
…01111111100101
3112022000210221201
430032211333211
5410004332404
632205042501
75040523312
oct1416457745
9468023851
10205152229
11a58919a7
1258856431
133366c469
141d363d09
1513025ca4
hexc3a5fe5

205152229 has 2 divisors, whose sum is σ = 205152230. Its totient is φ = 205152228.

The previous prime is 205152221. The next prime is 205152239. The reversal of 205152229 is 922251502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137945025 + 67207204 = 11745^2 + 8198^2 .

It is a cyclic number.

It is not a de Polignac number, because 205152229 - 23 = 205152221 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 205152197 and 205152206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205152221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102576114 + 102576115.

It is an arithmetic number, because the mean of its divisors is an integer number (102576115).

Almost surely, 2205152229 is an apocalyptic number.

It is an amenable number.

205152229 is a deficient number, since it is larger than the sum of its proper divisors (1).

205152229 is an equidigital number, since it uses as much as digits as its factorization.

205152229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 205152229 is about 14323.1361440154. The cubic root of 205152229 is about 589.7827688260.

The spelling of 205152229 in words is "two hundred five million, one hundred fifty-two thousand, two hundred twenty-nine".