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205226369 is a prime number
BaseRepresentation
bin11000011101110…
…00000110000001
3112022011120122122
430032320012001
5410014220434
632210414025
75041252415
oct1416700601
9468146578
10205226369
11a5932677
1258891315
133369712a
141d382d45
151303cc2e
hexc3b8181

205226369 has 2 divisors, whose sum is σ = 205226370. Its totient is φ = 205226368.

The previous prime is 205226339. The next prime is 205226389. The reversal of 205226369 is 963622502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171295744 + 33930625 = 13088^2 + 5825^2 .

It is a cyclic number.

It is not a de Polignac number, because 205226369 - 216 = 205160833 is a prime.

It is a super-2 number, since 2×2052263692 = 84235725065848322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205226339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102613184 + 102613185.

It is an arithmetic number, because the mean of its divisors is an integer number (102613185).

Almost surely, 2205226369 is an apocalyptic number.

It is an amenable number.

205226369 is a deficient number, since it is larger than the sum of its proper divisors (1).

205226369 is an equidigital number, since it uses as much as digits as its factorization.

205226369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 205226369 is about 14325.7240305682. The cubic root of 205226369 is about 589.8538075019.

The spelling of 205226369 in words is "two hundred five million, two hundred twenty-six thousand, three hundred sixty-nine".