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212422143432420 = 223253533668949937
BaseRepresentation
bin110000010011001001100010…
…011001101101011011100100
31000212010100200102001110010100
4300103021202121231123210
5210320311022204314140
62031441215134224100
762512664511314205
oct6023114231553344
91025110612043110
10212422143432420
11617587a8152019
121b9a8a02055030
13916b425a7b51c
143a654026015ac
1519858c28ba530
hexc1326266d6e4

212422143432420 has 144 divisors (see below), whose sum is σ = 644638813444080. Its totient is φ = 56620271566848.

The previous prime is 212422143432379. The next prime is 212422143432463. The reversal of 212422143432420 is 24234341224212.

212422143432420 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 2 + 214 + 3 + 432 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3650912061696 + 208771231370724 = 1910736^2 + 14448918^2 .

It is a super-3 number, since 3×2124221434324203 (a number of 44 digits) contains 333 as substring.

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

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, 4253777692 + ... + 4253827628.

It is an arithmetic number, because the mean of its divisors is an integer number (4476658426695).

Almost surely, 2212422143432420 is an apocalyptic number.

212422143432420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212422143432420 is an abundant number, since it is smaller than the sum of its proper divisors (432216670011660).

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

212422143432420 is a wasteful number, since it uses less digits than its factorization.

212422143432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60174 (or 60169 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 212422143432420 its reverse (24234341224212), we get a palindrome (236656484656632).

The spelling of 212422143432420 in words is "two hundred twelve trillion, four hundred twenty-two billion, one hundred forty-three million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3533 6689 7066 10599 13378 14132 17665 20067 21198 26756 31797 33445 35330 40134 42396 49937 52995 60201 63594 66890 70660 80268 99874 100335 105990 120402 127188 133780 149811 158985 199748 200670 211980 240804 249685 299622 301005 317970 401340 449433 499370 599244 602010 635940 749055 898866 998740 1204020 1498110 1797732 2247165 2996220 4494330 8988660 23632237 47264474 70896711 94528948 118161185 141793422 176427421 212690133 236322370 283586844 334028593 352854842 354483555 425380266 472644740 529282263 668057186 705709684 708967110 850760532 882137105 1002085779 1058564526 1063450665 1336114372 1417934220 1587846789 1670142965 1764274210 2004171558 2117129052 2126901330 2646411315 3006257337 3175693578 3340285930 3528548420 4008343116 4253802660 5010428895 5292822630 6012514674 6351387156 6680571860 7939233945 10020857790 10585645260 12025029348 15031286685 15878467890 20041715580 30062573370 31756935780 60125146740 1180123019069 2360246038138 3540369057207 4720492076276 5900615095345 7080738114414 10621107171621 11801230190690 14161476228828 17701845286035 21242214343242 23602460381380 35403690572070 42484428686484 53105535858105 70807381144140 106211071716210 212422143432420