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205894431 = 32199712413
BaseRepresentation
bin11000100010110…
…11001100011111
3112100102112001200
430101123030133
5410202110211
632233010543
75050034211
oct1421331437
9470375050
10205894431
11a6249596
1258b53a53
133386c232
141d4b85b1
1513120b56
hexc45b31f

205894431 has 24 divisors (see below), whose sum is σ = 316308720. Its totient is φ = 128687616.

The previous prime is 205894427. The next prime is 205894441. The reversal of 205894431 is 134498502.

205894431 is a `hidden beast` number, since 2 + 0 + 589 + 44 + 31 = 666.

It is not a de Polignac number, because 205894431 - 22 = 205894427 is a prime.

It is a super-2 number, since 2×2058944312 = 84785033433627522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205894421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10381 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (13179530).

Almost surely, 2205894431 is an apocalyptic number.

205894431 is a deficient number, since it is larger than the sum of its proper divisors (110414289).

205894431 is a wasteful number, since it uses less digits than its factorization.

205894431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 205894431 is about 14349.0219527325. The cubic root of 205894431 is about 590.4931537059.

The spelling of 205894431 in words is "two hundred five million, eight hundred ninety-four thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 97 171 291 873 1843 5529 12413 16587 37239 111717 235847 707541 1204061 2122623 3612183 10836549 22877159 68631477 205894431