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223141334749086 = 2313413831049173671
BaseRepresentation
bin110010101111001000100011…
…111111100000111110011110
31002021002002210021121222221210
4302233020203333200332132
5213221421423143432321
62110325414121205250
765000300202211545
oct6257104377407636
91067062707558853
10223141334749086
1165110788201a16
122103a351630826
1397681a3348250
143d1615377115c
151abe641641b76
hexcaf223fe0f9e

223141334749086 has 128 divisors (see below), whose sum is σ = 494093227622400. Its totient is φ = 66745298995200.

The previous prime is 223141334749043. The next prime is 223141334749087. The reversal of 223141334749086 is 680947433141322.

It is a super-3 number, since 3×2231413347490863 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223141334749087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1284764031 + ... + 1284937701.

It is an arithmetic number, because the mean of its divisors is an integer number (3860103340800).

Almost surely, 2223141334749086 is an apocalyptic number.

223141334749086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223141334749086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247046613811200).

223141334749086 is an abundant number, since it is smaller than the sum of its proper divisors (270951892873314).

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

223141334749086 is a wasteful number, since it uses less digits than its factorization.

223141334749086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175162.

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 223141334749086 in words is "two hundred twenty-three trillion, one hundred forty-one billion, three hundred thirty-four million, seven hundred forty-nine thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 383 533 766 1049 1066 1149 1599 2098 2298 3147 3198 4979 6294 9958 13637 14937 15703 27274 29874 31406 40911 43009 47109 81822 86018 94218 129027 173671 204139 258054 347342 401767 408278 521013 559117 612417 803534 1042026 1118234 1205301 1224834 1677351 2257723 2410602 3354702 4515446 5222971 6773169 7120511 10445942 13546338 14241022 15668913 16472447 21361533 31337826 32944894 42723066 49417341 66515993 92566643 98834682 133031986 182180879 185133286 199547979 214141811 277699929 364361758 399095958 428283622 546542637 555399858 642425433 864707909 1093085274 1284850866 1729415818 2368351427 2594123727 2727155713 4736702854 5188247454 5454311426 7105054281 7469416039 8181467139 14210108562 14938832078 16362934278 22408248117 35453024269 44816496234 69775276657 70906048538 97102408507 106359072807 139550553314 194204817014 209325829971 212718145614 291307225521 418651659942 582614451042 907078596541 1814157193082 2721235789623 2860786342937 5442471579246 5721572685874 8582359028811 17164718057622 37190222458181 74380444916362 111570667374543 223141334749086