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223202330230020 = 223517273917418277
BaseRepresentation
bin110010110000000001010111…
…100110110011110100000100
31002021021221020011101110211020
4302300001113212303310010
5213223421333014330040
62110413422430111140
765004556550226201
oct6260012746636404
91067257204343736
10223202330230020
11651346385a6599
122104a13494b4b0
139770b740bc6bb
143d1909c516ca8
151ac1011481cd0
hexcb00579b3d04

223202330230020 has 144 divisors (see below), whose sum is σ = 664790178534720. Its totient is φ = 55943600818176.

The previous prime is 223202330229973. The next prime is 223202330230039. The reversal of 223202330230020 is 20032033202322.

It is a super-3 number, since 3×2232023302300203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4105122 + ... + 21523398.

Almost surely, 2223202330230020 is an apocalyptic number.

223202330230020 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 223202330230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332395089267360).

223202330230020 is an abundant number, since it is smaller than the sum of its proper divisors (441587848304700).

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

223202330230020 is a wasteful number, since it uses less digits than its factorization.

223202330230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419062 (or 17419043 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 223202330230020 its reverse (20032033202322), we get a palindrome (243234363432342).

The spelling of 223202330230020 in words is "two hundred twenty-three trillion, two hundred two billion, three hundred thirty million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 739 867 1020 1156 1445 1478 1734 2217 2890 2956 3468 3695 4335 4434 5780 7390 8670 8868 11085 12563 14780 17340 22170 25126 37689 44340 50252 62815 75378 125630 150756 188445 213571 251260 376890 427142 640713 753780 854284 1067855 1281426 2135710 2562852 3203565 4271420 6407130 12814260 17418277 34836554 52254831 69673108 87091385 104509662 174182770 209019324 261274155 296110709 348365540 522548310 592221418 888332127 1045096620 1184442836 1480553545 1776664254 2961107090 3553328508 4441660635 5033882053 5922214180 8883321270 10067764106 12872106703 15101646159 17766642540 20135528212 25169410265 25744213406 30203292318 38616320109 50338820530 51488426812 60406584636 64360533515 75508230795 77232640218 100677641060 128721067030 151016461590 154465280436 193081600545 218825813951 257442134060 302032923180 386163201090 437651627902 656477441853 772326402180 875303255804 1094129069755 1312954883706 2188258139510 2625909767412 3282387209265 3720038837167 4376516279020 6564774418530 7440077674334 11160116511501 13129548837060 14880155348668 18600194185835 22320233023002 37200388371670 44640466046004 55800582557505 74400776743340 111601165115010 223202330230020