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205374413 is a prime number
BaseRepresentation
bin11000011110111…
…00001111001101
3112022110002201202
430033130033031
5410033440123
632213515245
75042440136
oct1417341715
9468402652
10205374413
11a5a23922
1258942b25
133371962a
141d3c0c8d
151306ba28
hexc3dc3cd

205374413 has 2 divisors, whose sum is σ = 205374414. Its totient is φ = 205374412.

The previous prime is 205374347. The next prime is 205374427. The reversal of 205374413 is 314473502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167391844 + 37982569 = 12938^2 + 6163^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205374413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205374313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102687206 + 102687207.

It is an arithmetic number, because the mean of its divisors is an integer number (102687207).

Almost surely, 2205374413 is an apocalyptic number.

It is an amenable number.

205374413 is a deficient number, since it is larger than the sum of its proper divisors (1).

205374413 is an equidigital number, since it uses as much as digits as its factorization.

205374413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 205374413 is about 14330.8901677460. The cubic root of 205374413 is about 589.9956075513.

The spelling of 205374413 in words is "two hundred five million, three hundred seventy-four thousand, four hundred thirteen".