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205634196 = 22325712061
BaseRepresentation
bin11000100000110…
…11101010010100
3112022221022002100
430100123222110
5410120243241
632223242100
75044601415
oct1420335224
9468838070
10205634196
11a6091019
1258a49330
13337aa951
141d44b80c
15130bd9b6
hexc41ba94

205634196 has 18 divisors (see below), whose sum is σ = 519797642. Its totient is φ = 68544720.

The previous prime is 205634183. The next prime is 205634203. The reversal of 205634196 is 691436502.

It is a happy number.

205634196 is a `hidden beast` number, since 2 + 0 + 5 + 634 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192932100 + 12702096 = 13890^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5712061 = 205634196 / (2 + 0 + 5 + 6 + 3 + 4 + 1 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 205634196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2855995 + ... + 2856066.

Almost surely, 2205634196 is an apocalyptic number.

It is an amenable number.

205634196 is an abundant number, since it is smaller than the sum of its proper divisors (314163446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205634196 is a wasteful number, since it uses less digits than its factorization.

205634196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712071 (or 5712066 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 205634196 is about 14339.9510459415. The cubic root of 205634196 is about 590.2442692464.

The spelling of 205634196 in words is "two hundred five million, six hundred thirty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 5712061 11424122 17136183 22848244 34272366 51408549 68544732 102817098 205634196