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205222141 is a prime number
BaseRepresentation
bin11000011101101…
…11000011111101
3112022011100212001
430032313003331
5410014102031
632210342301
75041234165
oct1416670375
9468140761
10205222141
11a592a483
125888a991
1333695227
141d3815a5
151303b861
hexc3b70fd

205222141 has 2 divisors, whose sum is σ = 205222142. Its totient is φ = 205222140.

The previous prime is 205222099. The next prime is 205222153. The reversal of 205222141 is 141222502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181980100 + 23242041 = 13490^2 + 4821^2 .

It is a cyclic number.

It is not a de Polignac number, because 205222141 - 219 = 204697853 is a prime.

It is a super-2 number, since 2×2052221412 = 84232254313247762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205222841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102611070 + 102611071.

It is an arithmetic number, because the mean of its divisors is an integer number (102611071).

Almost surely, 2205222141 is an apocalyptic number.

It is an amenable number.

205222141 is a deficient number, since it is larger than the sum of its proper divisors (1).

205222141 is an equidigital number, since it uses as much as digits as its factorization.

205222141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 205222141 is about 14325.5764630956. The cubic root of 205222141 is about 589.8497568219.

Adding to 205222141 its reverse (141222502), we get a palindrome (346444643).

The spelling of 205222141 in words is "two hundred five million, two hundred twenty-two thousand, one hundred forty-one".