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205412429 is a prime number
BaseRepresentation
bin11000011111001…
…01100001001101
3112022112000212202
430033211201031
5410041144204
632214411245
75042656025
oct1417454115
9468460782
10205412429
11a5a4a442
1258960b25
1333730a21
141d3d0a85
1513077e1e
hexc3e584d

205412429 has 2 divisors, whose sum is σ = 205412430. Its totient is φ = 205412428.

The previous prime is 205412413. The next prime is 205412447. The reversal of 205412429 is 924214502.

205412429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136936804 + 68475625 = 11702^2 + 8275^2 .

It is a cyclic number.

It is not a de Polignac number, because 205412429 - 24 = 205412413 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205412489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102706214 + 102706215.

It is an arithmetic number, because the mean of its divisors is an integer number (102706215).

Almost surely, 2205412429 is an apocalyptic number.

It is an amenable number.

205412429 is a deficient number, since it is larger than the sum of its proper divisors (1).

205412429 is an equidigital number, since it uses as much as digits as its factorization.

205412429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 205412429 is about 14332.2164719906. The cubic root of 205412429 is about 590.0320091798.

The spelling of 205412429 in words is "two hundred five million, four hundred twelve thousand, four hundred twenty-nine".