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205431141 = 33137227263
BaseRepresentation
bin11000011111010…
…10000101100101
3112022112222112210
430033222011211
5410042244031
632215034033
75043064416
oct1417520545
9468488483
10205431141
11a5a62503
125896b919
13337393b6
141d3d780d
151307d746
hexc3ea165

205431141 has 32 divisors (see below), whose sum is σ = 292773888. Its totient is φ = 127897920.

The previous prime is 205431137. The next prime is 205431181. The reversal of 205431141 is 141134502.

205431141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205431141 - 22 = 205431137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205431181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780976 + ... + 781238.

It is an arithmetic number, because the mean of its divisors is an integer number (9149184).

Almost surely, 2205431141 is an apocalyptic number.

It is an amenable number.

205431141 is a deficient number, since it is larger than the sum of its proper divisors (87342747).

205431141 is a wasteful number, since it uses less digits than its factorization.

205431141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205431141 is about 14332.8692521770. The cubic root of 205431141 is about 590.0499249144.

Adding to 205431141 its reverse (141134502), we get a palindrome (346565643).

The spelling of 205431141 in words is "two hundred five million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 31 37 93 111 227 263 681 789 1147 3441 7037 8153 8399 9731 21111 24459 25197 29193 59701 179103 260369 301661 781107 904983 1850731 2208937 5552193 6626811 68477047 205431141