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233226996678468 = 2232132931873539153
BaseRepresentation
bin110101000001111001100100…
…010010011111111101000100
31010120210021122101220010202100
4311001321210102133331010
5221032142342122202333
62144011000402512100
7100061044253135412
oct6501714422377504
91116707571803670
10233226996678468
116834a0174563a1
12221a8b55365630
13a01a299636c40
1441843655a42b2
151be6b81b5c213
hexd41e6449ff44

233226996678468 has 144 divisors (see below), whose sum is σ = 656810493459120. Its totient is φ = 69285293457408.

The previous prime is 233226996678443. The next prime is 233226996678521. The reversal of 233226996678468 is 864876699622332.

233226996678468 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 2 + 6 + 9 + 96 + 67 + 8 + 468 = 666.

233226996678468 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 8 ways, for example, as 12327977698884 + 220899018979584 = 3511122^2 + 14862672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432310780 + ... + 432849932.

It is an arithmetic number, because the mean of its divisors is an integer number (4561183982355).

Almost surely, 2233226996678468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233226996678468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328405246729560).

233226996678468 is an abundant number, since it is smaller than the sum of its proper divisors (423583496780652).

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

233226996678468 is a wasteful number, since it uses less digits than its factorization.

233226996678468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571078 (or 571073 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 81.

The spelling of 233226996678468 in words is "two hundred thirty-three trillion, two hundred twenty-six billion, nine hundred ninety-six million, six hundred seventy-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 31873 63746 95619 127492 191238 286857 382476 414349 539153 573714 828698 924317 1078306 1147428 1243047 1617459 1657396 1848634 2156612 2486094 2772951 3234918 3697268 3729141 4852377 4972188 5545902 6469836 7008989 7458282 8318853 9704754 11091804 12016121 14017978 14916564 15635437 16637706 19409508 21026967 24032242 28035956 31270874 33275412 36048363 42053934 46906311 48064484 62541748 63080901 72096726 84107868 93812622 108145089 126161802 140718933 144193452 187625244 203260681 216290178 252323604 281437866 406521362 432580356 562875732 609782043 813042724 1219564086 1829346129 2439128172 3658692258 7317384516 17184423569 34368847138 51553270707 68737694276 103106541414 154659812121 206213082828 223397506397 309319624242 446795012794 498348283501 618639248484 670192519191 893590025588 996696567002 1340385038382 1495044850503 1993393134004 2010577557573 2680770076764 2990089701006 4021155115146 4485134551509 5980179402012 6478527685513 8042310230292 8970269103018 12957055371026 17940538206036 19435583056539 25914110742052 38871166113078 58306749169617 77742332226156 116613498339234 233226996678468