Search a number
-
+
233340523220240 = 245113156725036581
BaseRepresentation
bin110101000011100011010010…
…111111111000110100010000
31010121012010200021002222222122
4311003203102333320310100
5221041022342421021430
62144135053450353412
7100102203455621642
oct6503432277706420
91117163607088878
10233340523220240
1168393184201537
1222206b5912b868
13a027bbc634347
144189a54c94892
151be9ac8655ee5
hexd438d2ff8d10

233340523220240 has 160 divisors (see below), whose sum is σ = 547969083734016. Its totient is φ = 92400209879040.

The previous prime is 233340523220239. The next prime is 233340523220249. The reversal of 233340523220240 is 42022325043332.

233340523220240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233340523220240.

It is not an unprimeable number, because it can be changed into a prime (233340523220249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35456693750 + ... + 35456700330.

Almost surely, 2233340523220240 is an apocalyptic number.

233340523220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233340523220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273984541867008).

233340523220240 is an abundant number, since it is smaller than the sum of its proper divisors (314628560513776).

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

233340523220240 is a wasteful number, since it uses less digits than its factorization.

233340523220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777 (or 10771 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

Adding to 233340523220240 its reverse (42022325043332), we get a palindrome (275362848263572).

The spelling of 233340523220240 in words is "two hundred thirty-three trillion, three hundred forty billion, five hundred twenty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1567 1808 2260 2503 3134 4520 5006 6268 6581 7835 9040 10012 12515 12536 13162 15670 20024 25030 25072 26324 31340 32905 40048 50060 52648 62680 65810 100120 105296 125360 131620 177071 200240 263240 282839 354142 526480 565678 708284 743653 885355 1131356 1414195 1416568 1487306 1770710 2262712 2828390 2833136 2974612 3541420 3718265 3922201 4525424 5656780 5949224 7082840 7436530 7844402 10312427 11313560 11898448 14165680 14873060 15688804 16472243 19611005 20624854 22627120 29746120 31377608 32944486 39222010 41249708 51562135 59492240 62755216 65888972 78444020 82361215 82499416 103124270 131777944 156888040 164722430 164998832 206248540 263555888 313776080 329444860 412497080 443208713 658889720 824994160 886417426 1165304251 1317779440 1772834852 1861363459 2216043565 2330608502 3545669704 3722726918 4432087130 4661217004 5826521255 7091339408 7445453836 8864174260 9306817295 9322434008 11653042510 14890907672 17728348520 18613634590 18644868016 23306085020 25812004781 29781815344 35456697040 37227269180 46612170040 51624009562 74454538360 93224340080 103248019124 129060023905 148909076720 206496038248 258120047810 412992076496 516240095620 1032480191240 2064960382480 2916756540253 5833513080506 11667026161012 14583782701265 23334052322024 29167565402530 46668104644048 58335130805060 116670261610120 233340523220240