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205262201 is a prime number
BaseRepresentation
bin11000011110000…
…00110101111001
3112022020101210202
430033000311321
5410021342301
632211251545
75041462034
oct1417006571
9468211722
10205262201
11a5957591
12588a9bb5
13336aa531
141d39201b
151304866b
hexc3c0d79

205262201 has 2 divisors, whose sum is σ = 205262202. Its totient is φ = 205262200.

The previous prime is 205262179. The next prime is 205262219. The reversal of 205262201 is 102262502.

205262201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138415225 + 66846976 = 11765^2 + 8176^2 .

It is a cyclic number.

It is not a de Polignac number, because 205262201 - 26 = 205262137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (205262801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102631100 + 102631101.

It is an arithmetic number, because the mean of its divisors is an integer number (102631101).

Almost surely, 2205262201 is an apocalyptic number.

It is an amenable number.

205262201 is a deficient number, since it is larger than the sum of its proper divisors (1).

205262201 is an equidigital number, since it uses as much as digits as its factorization.

205262201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205262201 is about 14326.9745934025. The cubic root of 205262201 is about 589.8881344937. Note that the first 3 decimals are identical.

The spelling of 205262201 in words is "two hundred five million, two hundred sixty-two thousand, two hundred one".