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221421203572212 = 223271915101901841
BaseRepresentation
bin110010010110000110100100…
…001011110100010111110100
31002000222122211101100102122100
4302112012210023310113310
5213010231111103302322
62102531255140302100
764432103560360320
oct6226064413642764
91060878741312570
10221421203572212
1164608228a83276
1220a00ab50a1930
139671c11cc97c7
143c96bb4552980
151a8ea187e4dac
hexc961a42f45f4

221421203572212 has 144 divisors (see below), whose sum is σ = 643137035433984. Its totient is φ = 62919573120000.

The previous prime is 221421203572187. The next prime is 221421203572249. The reversal of 221421203572212 is 212275302124122.

It is a happy number.

221421203572212 is a `hidden beast` number, since 2 + 2 + 1 + 42 + 1 + 20 + 3 + 572 + 21 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245070412 + ... + 245972252.

It is an arithmetic number, because the mean of its divisors is an integer number (4466229412736).

Almost surely, 2221421203572212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221421203572212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321568517716992).

221421203572212 is an abundant number, since it is smaller than the sum of its proper divisors (421715831861772).

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

221421203572212 is a wasteful number, since it uses less digits than its factorization.

221421203572212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907150 (or 907145 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 221421203572212 its reverse (212275302124122), we get a palindrome (433696505696334).

The spelling of 221421203572212 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred three million, five hundred seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2674 3438 4011 5101 5348 6876 8022 10202 12033 15303 16044 20404 24066 30606 35707 45909 48132 61212 71414 91818 107121 142828 183636 214242 321363 428484 642726 901841 974291 1285452 1803682 1948582 2705523 2922873 3607364 3897164 5411046 5845746 6312887 6820037 8116569 8768619 10822092 11691492 12625774 13640074 16233138 17537238 18938661 20460111 25251548 27280148 32466276 35074476 37877322 40920222 56815983 61380333 75754644 81840444 113631966 122760666 172251631 227263932 245521332 344503262 516754893 689006524 1033509786 1205761417 1550264679 2067019572 2411522834 3100529358 3617284251 4600290941 4823045668 6201058716 7234568502 9200581882 10851852753 13800872823 14469137004 18401163764 21703705506 27601745646 32202036587 41402618469 43407411012 55203491292 64404073174 82805236938 96606109761 128808146348 165610473876 193212219522 289818329283 386424439044 579636658566 878655569731 1159273317132 1757311139462 2635966709193 3514622278924 5271933418386 6150588988117 7907900127579 10543866836772 12301177976234 15815800255158 18451766964351 24602355952468 31631600510316 36903533928702 55355300893053 73807067857404 110710601786106 221421203572212