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232222544500040 = 235103863159740897
BaseRepresentation
bin110100110011010010000110…
…010001100001010101001000
31010110020020222101220121121222
4310303102012101201111020
5220414213232343000130
62141521321510421212
766625345064401343
oct6463220621412510
91113206871817558
10232222544500040
1167aa20343829a6
1222066350361808
139c76651b695c3
14414b8b9b3d45a
151bca994601ce5
hexd33486461548

232222544500040 has 128 divisors (see below), whose sum is σ = 528528531548160. Its totient is φ = 91820814188544.

The previous prime is 232222544500027. The next prime is 232222544500081. The reversal of 232222544500040 is 40005445222232.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5678208872 + ... + 5678249768.

It is an arithmetic number, because the mean of its divisors is an integer number (4129129152720).

Almost surely, 2232222544500040 is an apocalyptic number.

232222544500040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232222544500040 is an abundant number, since it is smaller than the sum of its proper divisors (296305987048120).

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

232222544500040 is a wasteful number, since it uses less digits than its factorization.

232222544500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43471 (or 43467 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 232222544500040 its reverse (40005445222232), we get a palindrome (272227989722272).

The spelling of 232222544500040 in words is "two hundred thirty-two trillion, two hundred twenty-two billion, five hundred forty-four million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 863 1030 1597 1726 2060 3194 3452 4120 4315 6388 6904 7985 8630 12776 15970 17260 31940 34520 40897 63880 81794 88889 163588 164491 177778 204485 327176 328982 355556 408970 444445 657964 711112 817940 822455 888890 1315928 1378211 1635880 1644910 1777780 2756422 3289820 3555560 4212391 5512844 6579640 6891055 8424782 11025688 13782110 16849564 21061955 27564220 33699128 35294111 42123910 55128440 65312509 70588222 84247820 130625018 141176444 141955733 168495640 176470555 261250036 282352888 283911466 326562545 352941110 522500072 567822932 653125090 705882220 709778665 1135645864 1306250180 1411764440 1419557330 2612500360 2839114660 3635293433 5678229320 6727188427 7270586866 13454376854 14541173732 18176467165 26908753708 29082347464 33635942135 36352934330 53817507416 56364695267 67271884270 72705868660 112729390534 134543768540 145411737320 225458781068 269087537080 281823476335 450917562136 563646952670 1127293905340 2254587810680 5805563612501 11611127225002 23222254450004 29027818062505 46444508900008 58055636125010 116111272250020 232222544500040