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205604249 is a prime number
BaseRepresentation
bin11000100000101…
…00010110011001
3112022212210000012
430100110112121
5410113313444
632222451305
75044415204
oct1420242631
9468783005
10205604249
11a6070574
1258a33b35
133379a126
141d44093b
15130b4b9e
hexc414599

205604249 has 2 divisors, whose sum is σ = 205604250. Its totient is φ = 205604248.

The previous prime is 205604219. The next prime is 205604261. The reversal of 205604249 is 942406502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205406224 + 198025 = 14332^2 + 445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205604249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205604209) 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, 102802124 + 102802125.

It is an arithmetic number, because the mean of its divisors is an integer number (102802125).

Almost surely, 2205604249 is an apocalyptic number.

It is an amenable number.

205604249 is a deficient number, since it is larger than the sum of its proper divisors (1).

205604249 is an equidigital number, since it uses as much as digits as its factorization.

205604249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 205604249 is about 14338.9068272306. The cubic root of 205604249 is about 590.2156149603.

The spelling of 205604249 in words is "two hundred five million, six hundred four thousand, two hundred forty-nine".