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222201031000212 = 2232113727961542371
BaseRepresentation
bin110010100001011100110101…
…100001011000000010010100
31002010202012200220020100002200
4302201130311201120002110
5213111020202414001322
62104325424444404500
764542331455215145
oct6241346541300224
91063665626210080
10222201031000212
1164888a2325a060
1220b0806b846730
1396ca60c8c8634
143cc283170dacc
151aa4e5ab2d8ac
hexca1735858094

222201031000212 has 144 divisors (see below), whose sum is σ = 629320280132544. Its totient is φ = 65511353664000.

The previous prime is 222201031000099. The next prime is 222201031000253. The reversal of 222201031000212 is 212000130102222.

222201031000212 is a `hidden beast` number, since 222 + 201 + 0 + 31 + 0 + 0 + 0 + 212 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409413387 + ... + 409955757.

Almost surely, 2222201031000212 is an apocalyptic number.

222201031000212 is a gapful number since it is divisible by the number (22) 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 222201031000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314660140066272).

222201031000212 is an abundant number, since it is smaller than the sum of its proper divisors (407119249132332).

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

222201031000212 is a wasteful number, since it uses less digits than its factorization.

222201031000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570390 (or 570385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222201031000212 its reverse (212000130102222), we get a palindrome (434201161102434).

The spelling of 222201031000212 in words is "two hundred twenty-two trillion, two hundred one billion, thirty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 27961 55922 83883 111844 167766 251649 307571 335532 503298 542371 615142 922713 1006596 1034557 1084742 1230284 1627113 1845426 2069114 2169484 2768139 3103671 3254226 3690852 4138228 4881339 5536278 5966081 6207342 6508452 9311013 9762678 11072556 11380127 11932162 12414684 17898243 18622026 19525356 20067727 22760254 23864324 34140381 35796486 37244052 40135454 45520508 53694729 60203181 68280762 71592972 80270908 102421143 107389458 120406362 136561524 180609543 204842286 214778916 220744997 240812724 361219086 409684572 441489994 662234991 722438172 882979988 1324469982 1986704973 2648939964 3973409946 7946819892 15165235531 30330471062 45495706593 60660942124 90991413186 136487119779 166817590841 181982826372 272974239558 333635181682 500452772523 545948479116 561113714647 667270363364 1000905545046 1122227429294 1501358317569 1683341143941 2001811090092 2244454858588 3002716635138 3366682287882 5050023431823 6005433270276 6172250861117 6733364575764 10100046863646 12344501722234 18516752583351 20200093727292 24689003444468 37033505166702 55550257750053 74067010333404 111100515500106 222201031000212