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233204243225304 = 2331317271162242131
BaseRepresentation
bin110101000001100100011000…
…000100111101101011011000
31010120201002220200020221211210
4311001210120010331223120
5221031304242231202204
62143552314513223120
7100056310355026311
oct6501443004755330
91116632820227753
10233204243225304
116834040075124a
12221a4665261aa0
13a0180b167b7a0
144183207733608
151be629e2ed389
hexd4191813dad8

233204243225304 has 128 divisors (see below), whose sum is σ = 667243481748480. Its totient is φ = 67285056153600.

The previous prime is 233204243225281. The next prime is 233204243225339. The reversal of 233204243225304 is 403522342402332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79683682 + ... + 82558449.

It is an arithmetic number, because the mean of its divisors is an integer number (5212839701160).

Almost surely, 2233204243225304 is an apocalyptic number.

233204243225304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233204243225304 is an abundant number, since it is smaller than the sum of its proper divisors (434039238523176).

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

233204243225304 is a wasteful number, since it uses less digits than its factorization.

233204243225304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162242441 (or 162242437 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 39.

Adding to 233204243225304 its reverse (403522342402332), we get a palindrome (636726585627636).

The spelling of 233204243225304 in words is "two hundred thirty-three trillion, two hundred four billion, two hundred forty-three million, two hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 271 312 408 442 542 663 813 884 1084 1326 1626 1768 2168 2652 3252 3523 4607 5304 6504 7046 9214 10569 13821 14092 18428 21138 27642 28184 36856 42276 55284 59891 84552 110568 119782 179673 239564 359346 479128 718692 1437384 162242131 324484262 486726393 648968524 973452786 1297937048 1946905572 2109147703 2758116227 3893811144 4218295406 5516232454 6327443109 8274348681 8436590812 11032464908 12654886218 16548697362 16873181624 22064929816 25309772436 33097394724 35855510951 43967617501 50619544872 66194789448 71711021902 87935235002 107566532853 131902852503 143422043804 175870470004 215133065706 263805705006 286844087608 351740940008 430266131412 527611410012 571579027513 747449497517 860532262824 1055222820024 1143158055026 1494898995034 1714737082539 2242348492551 2286316110052 2989797990068 3429474165078 4484696985102 4572632220104 5979595980136 6858948330156 8969393970204 9716843467721 13717896660312 17938787940408 19433686935442 29150530403163 38867373870884 58301060806326 77734747741768 116602121612652 233204243225304