Search a number
-
+
233004034032 = 24372119006031
BaseRepresentation
bin1101100100000000011…
…1110110011111110000
3211021102110012022212020
43121000013312133300
512304143013042112
6255012433031440
722556025416400
oct3310007663760
9737373168766
10233004034032
118a8a8780490
12391a86b5580
1318c83b7b9b3
14b3c54a2800
1560dab8c48c
hex36401f67f0

233004034032 has 120 divisors (see below), whose sum is σ = 763855610112. Its totient is φ = 60520521600.

The previous prime is 233004034031. The next prime is 233004034069. The reversal of 233004034032 is 230430400332.

233004034032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 233004033993 and 233004034011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233004034031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4477144 + ... + 4528887.

Almost surely, 2233004034032 is an apocalyptic number.

233004034032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233004034032 is an abundant number, since it is smaller than the sum of its proper divisors (530851576080).

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

233004034032 is a wasteful number, since it uses less digits than its factorization.

233004034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006067 (or 9006054 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 233004034032 its reverse (230430400332), we get a palindrome (463434434364).

The spelling of 233004034032 in words is "two hundred thirty-three billion, four million, thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872 9006031 18012062 27018093 36024124 54036186 63042217 72048248 99066341 108072372 126084434 144096496 189126651 198132682 216144744 252168868 297199023 378253302 396265364 432289488 441295519 504337736 594398046 693464387 756506604 792530728 882591038 1008675472 1188796092 1323886557 1386928774 1513013208 1585061456 1765182076 2080393161 2377592184 2647773114 2773857548 3026026416 3530364152 4160786322 4755184368 4854250709 5295546228 5547715096 7060728304 8321572644 9708501418 10591092456 11095430192 14562752127 16643145288 19417002836 21182184912 29125504254 33286290576 38834005672 58251008508 77668011344 116502017016 233004034032