| Base | Representation |
|---|---|
| bin | 11000011101001… |
| … | …11001110010100 |
| 3 | 112022001001212100 |
| 4 | 30032213032110 |
| 5 | 410010013033 |
| 6 | 32205122100 |
| 7 | 5040544101 |
| oct | 1416471624 |
| 9 | 468031770 |
| 10 | 205157268 |
| 11 | a5895768 |
| 12 | 58859330 |
| 13 | 33671844 |
| 14 | 1d365aa8 |
| 15 | 13027513 |
| hex | c3a7394 |
205157268 has 18 divisors (see below), whose sum is σ = 518592074. Its totient is φ = 68385744.
The previous prime is 205157261. The next prime is 205157279. The reversal of 205157268 is 862751502.
It is a happy number.
205157268 is a `hidden beast` number, since 20 + 5 + 1 + 572 + 68 = 666.
205157268 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 only one way, i.e., 184199184 + 20958084 = 13572^2 + 4578^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-3 number, since 3×2051572683 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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: 5698813 = 205157268 / (2 + 0 + 5 + 1 + 5 + 7 + 2 + 6 + 8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (205157261) 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, 2849371 + ... + 2849442.
Almost surely, 2205157268 is an apocalyptic number.
It is an amenable number.
205157268 is an abundant number, since it is smaller than the sum of its proper divisors (313434806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205157268 is a wasteful number, since it uses less digits than its factorization.
205157268 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5698823 (or 5698818 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 205157268 is about 14323.3120471489. The cubic root of 205157268 is about 589.7875975835.
It can be divided in two parts, 2051 and 57268, that added together give a cube (59319 = 393).
The spelling of 205157268 in words is "two hundred five million, one hundred fifty-seven thousand, two hundred sixty-eight".
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