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230795565 = 357111319809
BaseRepresentation
bin11011100000110…
…10100100101101
3121002021121222220
431300122210231
5433040424230
634522425553
75501505240
oct1560324455
9532247886
10230795565
11109307140
12653622b9
1338a7a430
142291b257
15153ddd10
hexdc1a92d

230795565 has 128 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 83773440.

The previous prime is 230795561. The next prime is 230795567. The reversal of 230795565 is 565597032.

230795565 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 230795565 - 22 = 230795561 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230795561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284881 + ... + 285689.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2230795565 is an apocalyptic number.

It is an amenable number.

230795565 is an abundant number, since it is smaller than the sum of its proper divisors (291751635).

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

230795565 is a wasteful number, since it uses less digits than its factorization.

230795565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 230795565 is about 15191.9572471752. The cubic root of 230795565 is about 613.3981846662.

The spelling of 230795565 in words is "two hundred thirty million, seven hundred ninety-five thousand, five hundred sixty-five".

Divisors: 1 3 5 7 11 13 15 19 21 33 35 39 55 57 65 77 91 95 105 133 143 165 195 209 231 247 273 285 385 399 429 455 627 665 715 741 809 1001 1045 1155 1235 1365 1463 1729 1995 2145 2427 2717 3003 3135 3705 4045 4389 5005 5187 5663 7315 8151 8645 8899 10517 12135 13585 15015 15371 16989 19019 21945 25935 26697 28315 31551 40755 44495 46113 52585 57057 62293 73619 76855 84945 95095 107597 115687 133485 157755 169081 186879 199823 220857 230565 285285 311465 322791 347061 368095 507243 537985 578435 599469 809809 845405 934395 999115 1104285 1183567 1398761 1613955 1735305 2198053 2429427 2536215 2997345 3550701 4049045 4196283 5917835 6594159 6993805 10990265 12147135 15386371 17753505 20981415 32970795 46159113 76931855 230795565