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14233013212220 = 22511714273213247
BaseRepresentation
bin1100111100011110000110…
…1100100101010000111100
31212101122220011101120201122
43033013201230211100330
53331143202340242340
650134320032530112
72666205223104515
oct317074154452074
955348804346648
1014233013212220
1145982069a4850
12171a5533b0938
137c322399740a
14372c4ac3da0c
1519a37779edb5
hexcf1e1b2543c

14233013212220 has 96 divisors (see below), whose sum is σ = 33073679794176. Its totient is φ = 5101526707200.

The previous prime is 14233013212199. The next prime is 14233013212337. The reversal of 14233013212220 is 2221231033241.

14233013212220 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 14233013212220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66637637 + ... + 66850883.

It is an arithmetic number, because the mean of its divisors is an integer number (344517497856).

Almost surely, 214233013212220 is an apocalyptic number.

14233013212220 is a gapful number since it is divisible by the number (10) 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 14233013212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536839897088).

14233013212220 is an abundant number, since it is smaller than the sum of its proper divisors (18840666581956).

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

14233013212220 is a wasteful number, since it uses less digits than its factorization.

14233013212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217611 (or 217609 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14233013212220 its reverse (2221231033241), we get a palindrome (16454244245461).

The spelling of 14233013212220 in words is "fourteen trillion, two hundred thirty-three billion, thirteen million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 4273 7810 8546 15620 17092 21365 42730 47003 85460 94006 188012 213247 235015 303383 426494 470030 606766 852988 940060 1066235 1213532 1516915 2132470 2345717 3033830 3337213 4264940 4691434 6067660 6674426 9382868 11728585 13348852 15140537 16686065 23457170 30281074 33372130 46914340 60562148 66744260 75702685 151405370 166545907 302810740 333091814 666183628 832729535 911204431 1665459070 1822408862 3330918140 3644817724 4556022155 9112044310 10023248741 18224088620 20046497482 40092994964 50116243705 64695514601 100232487410 129391029202 200464974820 258782058404 323477573005 646955146010 711650660611 1293910292020 1423301321222 2846602642444 3558253303055 7116506606110 14233013212220