Search a number
-
+
230600475 = 32527314723
BaseRepresentation
bin11011011111010…
…10111100011011
3121001220201101100
431233222330123
5433013203400
634514322443
75500033410
oct1557527433
9531821340
10230600475
11109193606
1265289423
1338a0c6b1
14228aa107
15153a1100
hexdbeaf1b

230600475 has 72 divisors (see below), whose sum is σ = 487365632. Its totient is φ = 101995200.

The previous prime is 230600467. The next prime is 230600567. The reversal of 230600475 is 574006032.

It is a happy number.

It is not a de Polignac number, because 230600475 - 23 = 230600467 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46464 + ... + 51186.

Almost surely, 2230600475 is an apocalyptic number.

230600475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230600475 is an abundant number, since it is smaller than the sum of its proper divisors (256765157).

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

230600475 is a wasteful number, since it uses less digits than its factorization.

230600475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230600475 is about 15185.5350580742. The cubic root of 230600475 is about 613.2253021041.

The spelling of 230600475 in words is "two hundred thirty million, six hundred thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1953 2325 3255 4723 5425 6975 9765 14169 16275 23615 33061 42507 48825 70845 99183 118075 146413 165305 212535 297549 354225 439239 495915 732065 826525 1024891 1062675 1317717 1487745 2196195 2479575 3074673 3660325 5124455 6588585 7438725 9224019 10980975 15373365 25622275 32942925 46120095 76866825 230600475