Search a number
-
+
205958196 = 223217336533
BaseRepresentation
bin11000100011010…
…10110000110100
3112100112202112100
430101222300310
5410211130241
632234222100
75050421133
oct1421526064
9470482470
10205958196
11a6292494
1258b84930
1333892272
141d4d391a
15131349b6
hexc46ac34

205958196 has 36 divisors (see below), whose sum is σ = 551242692. Its totient is φ = 64614144.

The previous prime is 205958191. The next prime is 205958237. The reversal of 205958196 is 691859502.

It can be written as a sum of positive squares in 2 ways, for example, as 134792100 + 71166096 = 11610^2 + 8436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205958191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167655 + ... + 168878.

It is an arithmetic number, because the mean of its divisors is an integer number (15312297).

Almost surely, 2205958196 is an apocalyptic number.

It is an amenable number.

205958196 is an abundant number, since it is smaller than the sum of its proper divisors (345284496).

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

205958196 is a wasteful number, since it uses less digits than its factorization.

205958196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336560 (or 336555 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 205958196 is about 14351.2437091703. The cubic root of 205958196 is about 590.5541055076.

The spelling of 205958196 in words is "two hundred five million, nine hundred fifty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 336533 673066 1009599 1346132 2019198 3028797 4038396 5721061 6057594 11442122 12115188 17163183 22884244 34326366 51489549 68652732 102979098 205958196