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212441233422000 = 24353113218806567
BaseRepresentation
bin110000010011011011010100…
…010000001111011010110000
31000212012011221211020101202110
4300103123110100033122300
5210321114121224001000
62031454053315045320
762514241543460412
oct6023332420173260
91025164854211673
10212441233422000
1161765903a31810
121b9b064b2a0840
139170178a6624b
143a662d3ac29b2
15198613d7cd850
hexc136d440f6b0

212441233422000 has 160 divisors (see below), whose sum is σ = 747175131016704. Its totient is φ = 51500905056000.

The previous prime is 212441233421993. The next prime is 212441233422079. The reversal of 212441233422000 is 224332144212.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1609337284 + ... + 1609469283.

Almost surely, 2212441233422000 is an apocalyptic number.

212441233422000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212441233422000 is an abundant number, since it is smaller than the sum of its proper divisors (534733897594704).

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

212441233422000 is a wasteful number, since it uses less digits than its factorization.

212441233422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218806604 (or 3218806588 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212441233422000 its reverse (224332144212), we get a palindrome (212665565566212).

The spelling of 212441233422000 in words is "two hundred twelve trillion, four hundred forty-one billion, two hundred thirty-three million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3218806567 6437613134 9656419701 12875226268 16094032835 19312839402 25750452536 32188065670 35406872237 38625678804 48282098505 51500905072 64376131340 70813744474 77251357608 80470164175 96564197010 106220616711 128752262680 141627488948 154502715216 160940328350 177034361185 193128394020 212441233422 241410492525 257504525360 283254977896 321880656700 354068722370 386256788040 402350820875 424882466844 482820985050 531103083555 566509955792 643761313400 708137444740 772513576080 804701641750 849764933688 885171805925 965641970100 1062206167110 1207052462625 1287522626800 1416274889480 1609403283500 1699529867376 1770343611850 1931283940200 2124412334220 2414104925250 2655515417775 2832549778960 3218806567000 3540687223700 3862567880400 4248824668440 4425859029625 4828209850500 5311030835550 6437613134000 7081374447400 8497649336880 8851718059250 9656419701000 10622061671100 13277577088875 14162748894800 17703436118500 19312839402000 21244123342200 26555154177750 35406872237000 42488246684400 53110308355500 70813744474000 106220616711000 212441233422000