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220013000314200 = 233252181675300799
BaseRepresentation
bin110010000001100111000100…
…101110101100110101011000
31001212000001000021110221200200
4302001213010232230311120
5212314143111040023300
62055532324345302200
764225262151233202
oct6201470456546530
91055001007427620
10220013000314200
1164114a97a4a905
1220813bb0794960
13959c1a1a24612
143c4898668d772
151a6809a3da200
hexc819c4bacd58

220013000314200 has 144 divisors (see below), whose sum is σ = 742959187152000. Its totient is φ = 58345988947200.

The previous prime is 220013000314147. The next prime is 220013000314241. The reversal of 220013000314200 is 2413000310022.

220013000314200 is a `hidden beast` number, since 2 + 20 + 0 + 130 + 0 + 0 + 314 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337324600 + ... + 337976199.

Almost surely, 2220013000314200 is an apocalyptic number.

220013000314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220013000314200 is an abundant number, since it is smaller than the sum of its proper divisors (522946186837800).

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

220013000314200 is a wasteful number, since it uses less digits than its factorization.

220013000314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675301002 (or 675300990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220013000314200 its reverse (2413000310022), we get a palindrome (222426000624222).

The spelling of 220013000314200 in words is "two hundred twenty trillion, thirteen billion, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 181 200 225 300 360 362 450 543 600 724 900 905 1086 1448 1629 1800 1810 2172 2715 3258 3620 4344 4525 5430 6516 7240 8145 9050 10860 13032 13575 16290 18100 21720 27150 32580 36200 40725 54300 65160 81450 108600 162900 325800 675300799 1350601598 2025902397 2701203196 3376503995 4051804794 5402406392 6077707191 6753007990 8103609588 10129511985 12155414382 13506015980 16207219176 16882519975 20259023970 24310828764 27012031960 30388535955 33765039950 40518047940 48621657528 50647559925 60777071910 67530079900 81036095880 101295119850 121554143820 122229444619 135060159800 151942679775 202590239700 243108287640 244458889238 303885359550 366688333857 405180479400 488917778476 607770719100 611147223095 733376667714 977835556952 1100065001571 1215541438200 1222294446190 1466753335428 1833441669285 2200130003142 2444588892380 2933506670856 3055736115475 3666883338570 4400260006284 4889177784760 5500325007855 6111472230950 7333766677140 8800520012568 9167208346425 11000650015710 12222944461900 14667533354280 18334416692850 22001300031420 24445888923800 27501625039275 36668833385700 44002600062840 55003250078550 73337666771400 110006500157100 220013000314200