Search a number
-
+
232254104553234 = 2353147327995267
BaseRepresentation
bin110100110011101111011111…
…011001100100011100010010
31010110100021102212201102200000
4310303233133121210130102
5220420222401231200414
62141544021312110430
766630543136413261
oct6463573731443422
91113307385642600
10232254104553234
116800445a193a95
1222070499835416
139c796114bbbaa
14414d2314405d8
151bcb6e0188b09
hexd33bdf664712

232254104553234 has 96 divisors (see below), whose sum is σ = 550150398959616. Its totient is φ = 73326621666960.

The previous prime is 232254104553223. The next prime is 232254104553257. The reversal of 232254104553234 is 432355401452232.

It is a happy number.

232254104553234 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 5 + 4 + 104 + 5 + 532 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 232254104553234.

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, 163289532 + ... + 164705735.

It is an arithmetic number, because the mean of its divisors is an integer number (5730733322496).

Almost surely, 2232254104553234 is an apocalyptic number.

232254104553234 is an abundant number, since it is smaller than the sum of its proper divisors (317896294406382).

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

232254104553234 is a wasteful number, since it uses less digits than its factorization.

232254104553234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327995362 (or 327995350 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 232254104553234 in words is "two hundred thirty-two trillion, two hundred fifty-four billion, one hundred four million, five hundred fifty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 81 93 94 141 162 186 243 279 282 423 486 558 837 846 1269 1457 1674 2511 2538 2914 3807 4371 5022 7533 7614 8742 11421 13113 15066 22842 26226 39339 78678 118017 236034 354051 708102 327995267 655990534 983985801 1967971602 2951957403 5903914806 8855872209 10167853277 15415777549 17711744418 20335706554 26567616627 30503559831 30831555098 46247332647 53135233254 61007119662 79702849881 91510679493 92494665294 138741997941 159405699762 183021358986 274532038479 277483995882 416225993823 477889104019 549064076958 823596115437 832451987646 955778208038 1248677981469 1433667312057 1647192230874 2470788346311 2497355962938 2867334624114 3746033944407 4301001936171 4941576692622 7492067888814 8602003872342 12903005808513 25806011617026 38709017425539 77418034851078 116127052276617 232254104553234