Search a number
-
+
205289091 = 32719414789
BaseRepresentation
bin11000011110001…
…11011010000011
3112022021202200200
430033013122003
5410023222331
632212020243
75041633320
oct1417073203
9468252620
10205289091
11a5975807
1258901683
13336b9847
141d39bb47
15130515e6
hexc3c7683

205289091 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 104924160.

The previous prime is 205289089. The next prime is 205289113. The reversal of 205289091 is 190982502.

205289091 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 205289091 - 21 = 205289089 is a prime.

It is a super-2 number, since 2×2052890912 = 84287221767212562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205289011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2306575 + ... + 2306663.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2205289091 is an apocalyptic number.

205289091 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205289091 is a deficient number, since it is larger than the sum of its proper divisors (172106109).

205289091 is a wasteful number, since it uses less digits than its factorization.

205289091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 205289091 is about 14327.9130022484. The cubic root of 205289091 is about 589.9138924418.

The spelling of 205289091 in words is "two hundred five million, two hundred eighty-nine thousand, ninety-one".

Divisors: 1 3 7 9 19 21 41 47 57 63 89 123 133 141 171 267 287 329 369 399 423 623 779 801 861 893 987 1197 1691 1869 1927 2337 2583 2679 2961 3649 4183 5073 5453 5607 5781 6251 7011 8037 10947 11837 12549 13489 15219 16359 17343 18753 25543 29281 32841 35511 36613 37647 40467 49077 56259 69331 76629 79477 87843 106533 109839 121401 171503 207993 229887 238431 256291 263529 329517 485317 514509 556339 623979 715293 768873 1200521 1455951 1543527 1669017 2306619 3258557 3601563 4367853 5007051 9775671 10804689 22809899 29327013 68429697 205289091