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205441301 = 1321215629
BaseRepresentation
bin11000011111011…
…00100100010101
3112022120111111002
430033230210111
5410043110201
632215153045
75043136142
oct1417544425
9468514432
10205441301
11a5a6a0aa
1258975785
1333740c00
141d3db3c9
151308176b
hexc3ec915

205441301 has 6 divisors (see below), whose sum is σ = 222460290. Its totient is φ = 189637968.

The previous prime is 205441289. The next prime is 205441321. The reversal of 205441301 is 103144502.

205441301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 25908100 + 179533201 = 5090^2 + 13399^2 .

It is not a de Polignac number, because 205441301 - 226 = 138332437 is a prime.

It is a super-2 number, since 2×2054413012 = 84412256313145202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205441321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 607646 + ... + 607983.

It is an arithmetic number, because the mean of its divisors is an integer number (37076715).

Almost surely, 2205441301 is an apocalyptic number.

It is an amenable number.

205441301 is a deficient number, since it is larger than the sum of its proper divisors (17018989).

205441301 is a wasteful number, since it uses less digits than its factorization.

205441301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215655 (or 1215642 counting only the distinct ones).

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

The square root of 205441301 is about 14333.2236778751. The cubic root of 205441301 is about 590.0596521129.

Adding to 205441301 its reverse (103144502), we get a palindrome (308585803).

The spelling of 205441301 in words is "two hundred five million, four hundred forty-one thousand, three hundred one".

Divisors: 1 13 169 1215629 15803177 205441301