Search a number
-
+
230337255248848 = 24114916319294547
BaseRepresentation
bin110100010111110110010010…
…010001110001001111010000
31010012120000201100120120120001
4310113312102101301033100
5220142321144320430343
62133515250235055344
766342213624230266
oct6427662221611720
91105500640516501
10230337255248848
1167435532787560
1221a00aa08a1554
139b6a92ca57577
1440c454dd5c436
151b9690208944d
hexd17d924713d0

230337255248848 has 160 divisors (see below), whose sum is σ = 489247399019520. Its totient is φ = 104184718848000.

The previous prime is 230337255248827. The next prime is 230337255248857. The reversal of 230337255248848 is 848842552733032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230337255248848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50656970511 + ... + 50656975057.

It is an arithmetic number, because the mean of its divisors is an integer number (3057796243872).

Almost surely, 2230337255248848 is an apocalyptic number.

It is an amenable number.

230337255248848 is an abundant number, since it is smaller than the sum of its proper divisors (258910143770672).

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

230337255248848 is a wasteful number, since it uses less digits than its factorization.

230337255248848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 64.

The spelling of 230337255248848 in words is "two hundred thirty trillion, three hundred thirty-seven billion, two hundred fifty-five million, two hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 491 631 929 982 1262 1858 1964 2524 3716 3928 4547 5048 5401 6941 7432 7856 9094 10096 10219 10802 13882 14864 18188 20438 21604 27764 36376 40876 43208 50017 55528 72752 81752 86416 100034 111056 163504 200068 309821 400136 456139 586199 619642 800272 912278 1172398 1239284 1824556 2232577 2344796 2478568 2869157 3408031 3649112 4224163 4465154 4689592 4957136 5017529 5738314 6448189 6816062 7298224 8448326 8930308 9379184 10035058 11476628 12896378 13632124 16896652 17860616 20070116 22953256 24558347 25792756 27264248 31560727 33793304 35721232 40140232 45906512 46465793 49116694 51585512 54528496 63121454 67586608 80280464 92931586 98233388 103171024 126242908 185863172 196466776 252485816 287823709 371726344 392933552 504971632 575647418 743452688 1151294836 1408756087 2074064033 2302589672 2665446853 2817512174 3166060799 4148128066 4605179344 5330893706 5635024348 6332121598 8296256132 10661787412 11270048696 12664243196 15496316957 16592512264 21323574824 22540097392 22814704363 25328486392 29319915383 30992633914 33185024528 42647149648 45629408726 50656972784 58639830766 61985267828 91258817452 117279661532 123970535656 182517634904 234559323064 247941071312 365035269808 469118646128 1308734404823 2617468809646 5234937619292 10469875238584 14396078453053 20939750477168 28792156906106 57584313812212 115168627624424 230337255248848