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205148837 is a prime number
BaseRepresentation
bin11000011101001…
…01001010100101
3112022000122022002
430032211022211
5410004230322
632205015045
75040510365
oct1416451245
9468018262
10205148837
11a588a3a3
1258854485
133366aa5a
141d3629a5
1513024c92
hexc3a52a5

205148837 has 2 divisors, whose sum is σ = 205148838. Its totient is φ = 205148836.

The previous prime is 205148807. The next prime is 205148851. The reversal of 205148837 is 738841502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180606721 + 24542116 = 13439^2 + 4954^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205148837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205148837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205148807) 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, 102574418 + 102574419.

It is an arithmetic number, because the mean of its divisors is an integer number (102574419).

Almost surely, 2205148837 is an apocalyptic number.

It is an amenable number.

205148837 is a deficient number, since it is larger than the sum of its proper divisors (1).

205148837 is an equidigital number, since it uses as much as digits as its factorization.

205148837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 205148837 is about 14323.0177337040. The cubic root of 205148837 is about 589.7795183062.

The spelling of 205148837 in words is "two hundred five million, one hundred forty-eight thousand, eight hundred thirty-seven".