Search a number
-
+
230650473203424 = 25324733916917757
BaseRepresentation
bin110100011100011001111111…
…100001011100011011100000
31010020122222012001102021020100
4310130121333201130123200
5220212434132120002144
62134315210430542400
766403642513014441
oct6434317741343340
91106588161367210
10230650473203424
116754635309475a
1221a51734967a00
139b9132815a571
1440d57847632c8
151b9eb34d9e269
hexd1c67f85c6e0

230650473203424 has 72 divisors (see below), whose sum is σ = 655926177586680. Its totient is φ = 76881862418688.

The previous prime is 230650473203417. The next prime is 230650473203431. The reversal of 230650473203424 is 424302374056032.

230650473203424 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 504 + 73 + 20 + 34 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (230650473203417) and next prime (230650473203431).

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 230650473203424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5174754 + ... + 22092510.

It is an arithmetic number, because the mean of its divisors is an integer number (9110085799815).

Almost surely, 2230650473203424 is an apocalyptic number.

230650473203424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230650473203424 is an abundant number, since it is smaller than the sum of its proper divisors (425275704383256).

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

230650473203424 is a wasteful number, since it uses less digits than its factorization.

230650473203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16965112 (or 16965101 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 230650473203424 in words is "two hundred thirty trillion, six hundred fifty billion, four hundred seventy-three million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47339 94678 142017 189356 284034 378712 426051 568068 757424 852102 1136136 1514848 1704204 2272272 3408408 4544544 6816816 13633632 16917757 33835514 50753271 67671028 101506542 135342056 152259813 203013084 270684112 304519626 406026168 541368224 609039252 812052336 1218078504 1624104672 2436157008 4872314016 800869698623 1601739397246 2402609095869 3203478794492 4805218191738 6406957588984 7207827287607 9610436383476 12813915177968 14415654575214 19220872766952 25627830355936 28831309150428 38441745533904 57662618300856 76883491067808 115325236601712 230650473203424