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233068403830084 = 22172277216212
BaseRepresentation
bin110100111111100101110111…
…011010110010110101000100
31010120020010021210110200212221
4310333211313122302311010
5221022043042340030314
62143410051355422124
7100043431214152144
oct6477456732626504
91116203253420787
10233068403830084
1168298833977059
1222182274a54944
13a008343a81014
14417a7dc904924
151be299d9c8824
hexd3f9776b2d44

233068403830084 has 81 divisors (see below), whose sum is σ = 435111588402309. Its totient is φ = 109215877685760.

The previous prime is 233068403830081. The next prime is 233068403830091. The reversal of 233068403830084 is 480038304860332.

The square root of 233068403830084 is 15266578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 66569639996484 + 166498763833600 = 8159022^2 + 12903440^2 .

It is a super-2 number, since 2×2330684038300842 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233068403830081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143780630794 + ... + 143780632414.

Almost surely, 2233068403830084 is an apocalyptic number.

233068403830084 is the 15266578-th square number.

It is an amenable number.

233068403830084 is a deficient number, since it is larger than the sum of its proper divisors (202043184572225).

233068403830084 is an frugal number, since it uses more digits than its factorization.

233068403830084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 233068403830084 in words is "two hundred thirty-three trillion, sixty-eight billion, four hundred three million, eight hundred thirty thousand, eighty-four".

Divisors: 1 2 4 17 34 68 277 289 554 578 1108 1156 1621 3242 4709 6484 9418 18836 27557 55114 76729 80053 110228 153458 160106 306916 320212 449017 468469 898034 936938 1304393 1796068 1873876 2608786 2627641 5217572 5255282 7633289 10510564 15266578 22174681 30533156 44349362 44669897 88698724 89339794 124377709 129765913 178679588 248755418 259531826 497510836 519063652 727856557 759388249 1455713114 1518776498 2114421053 2911426228 3037552996 4228842106 8457684212 12373561469 24747122938 35945157901 49494245876 71890315802 143780631604 201616266289 210350544973 403232532578 420701089946 806465065156 841402179892 3427476526913 6854953053826 13709906107652 58267100957521 116534201915042 233068403830084