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223434142004340 = 223257118049968647
BaseRepresentation
bin110010110011011001010000…
…101010100011010001110100
31002022010002120112010201211100
4302303121100222203101310
5213241221110323114330
62111112121113010100
765030404220626011
oct6263312052432164
91068102515121740
10223434142004340
1165213984277673
122108704a0b3930
139789997c57077
143d263ad502708
151ac707c612060
hexcb3650aa3474

223434142004340 has 144 divisors (see below), whose sum is σ = 687334797676800. Its totient is φ = 58739933306880.

The previous prime is 223434142004327. The next prime is 223434142004357. The reversal of 223434142004340 is 43400241434322.

223434142004340 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 3 + 4 + 14 + 200 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223434142004295 and 223434142004304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230181897 + ... + 231150543.

It is an arithmetic number, because the mean of its divisors is an integer number (4773158317200).

Almost surely, 2223434142004340 is an apocalyptic number.

223434142004340 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 223434142004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343667398838400).

223434142004340 is an abundant number, since it is smaller than the sum of its proper divisors (463900655672460).

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

223434142004340 is a wasteful number, since it uses less digits than its factorization.

223434142004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986782 (or 986777 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 223434142004340 its reverse (43400241434322), we get a palindrome (266834383438662).

The spelling of 223434142004340 in words is "two hundred twenty-three trillion, four hundred thirty-four billion, one hundred forty-two million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 18049 36098 54147 72196 90245 108294 162441 180490 216588 270735 324882 360980 541470 649764 812205 968647 1082940 1281479 1624410 1937294 2562958 2905941 3248820 3844437 3874588 4843235 5125916 5811882 6407395 7688874 8717823 9686470 11533311 11623764 12814790 14529705 15377748 17435646 19222185 19372940 23066622 25629580 29059410 34871292 38444370 43589115 46133244 57666555 58118820 68773937 76888740 87178230 115333110 137547874 174356460 206321811 230666220 275095748 343869685 412643622 618965433 687739370 825287244 1031609055 1237930866 1375478740 2063218110 2475861732 3094827165 4126436220 6189654330 12379308660 17483109703 34966219406 52449329109 69932438812 87415548515 104898658218 157347987327 174831097030 209797316436 262246645545 314695974654 349662194060 524493291090 629391949308 786739936635 1048986582180 1241300788913 1573479873270 2482601577826 3146959746540 3723902366739 4965203155652 6206503944565 7447804733478 11171707100217 12413007889130 14895609466956 18619511833695 22343414200434 24826015778260 37239023667390 44686828400868 55858535501085 74478047334780 111717071002170 223434142004340