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205147793 is a prime number
BaseRepresentation
bin11000011101001…
…00111010010001
3112022000120212102
430032210322101
5410004212133
632205010145
75040504344
oct1416447221
9468016772
10205147793
11a5889634
1258853955
133366a436
141d36245b
15130247e8
hexc3a4e91

205147793 has 2 divisors, whose sum is σ = 205147794. Its totient is φ = 205147792.

The previous prime is 205147751. The next prime is 205147849. The reversal of 205147793 is 397741502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129231424 + 75916369 = 11368^2 + 8713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205147793 is a prime.

It is not a weakly prime, because it can be changed into another prime (205146793) 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, 102573896 + 102573897.

It is an arithmetic number, because the mean of its divisors is an integer number (102573897).

Almost surely, 2205147793 is an apocalyptic number.

It is an amenable number.

205147793 is a deficient number, since it is larger than the sum of its proper divisors (1).

205147793 is an equidigital number, since it uses as much as digits as its factorization.

205147793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 205147793 is about 14322.9812888239. The cubic root of 205147793 is about 589.7785178442.

The spelling of 205147793 in words is "two hundred five million, one hundred forty-seven thousand, seven hundred ninety-three".