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222001132240041 = 371183103401280339
BaseRepresentation
bin110010011110100010101010…
…101000000111110010101001
31002010001002201121110011112120
4302132202222220013302221
5213044231304323140131
62104053525012301453
764522024003616040
oct6236425250076251
91063032647404476
10222001132240041
1164811173656940
1220a95382011889
1396b48035653ab
143cb6caac63557
151a9eb5b506496
hexc9e8aaa07ca9

222001132240041 has 128 divisors (see below), whose sum is σ = 378054987448320. Its totient is φ = 112547857536000.

The previous prime is 222001132240031. The next prime is 222001132240087. The reversal of 222001132240041 is 140042231100222.

It is not a de Polignac number, because 222001132240041 - 25 = 222001132240009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222001132239993 and 222001132240020.

It is not an unprimeable number, because it can be changed into a prime (222001132240031) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 791762250 + ... + 792042588.

It is an arithmetic number, because the mean of its divisors is an integer number (2953554589440).

Almost surely, 2222001132240041 is an apocalyptic number.

222001132240041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222001132240041 is a deficient number, since it is larger than the sum of its proper divisors (156053855208279).

222001132240041 is a wasteful number, since it uses less digits than its factorization.

222001132240041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280947.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 222001132240041 its reverse (140042231100222), we get a palindrome (362043363340263).

The spelling of 222001132240041 in words is "two hundred twenty-two trillion, one billion, one hundred thirty-two million, two hundred forty thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 83 103 231 249 309 401 581 721 913 1133 1203 1743 2163 2739 2807 3399 4411 6391 7931 8421 8549 13233 19173 23793 25647 30877 33283 41303 59843 92631 94039 99849 123909 179529 232981 280339 282117 289121 366113 454333 658273 698943 841017 867363 1098339 1362999 1962373 1974819 2562791 3083729 3180331 3428149 5887119 7688373 9251187 9540993 10284447 21586103 23268137 23997043 28874917 37709639 64758309 69804411 71991129 86624751 112415939 113128917 162876959 202124419 255949507 263967473 317624087 337247817 488630877 606373257 767848521 786911573 791902419 952872261 1236575329 1791646549 2223368609 2360734719 2396618111 3709725987 5374939647 6670105827 7189854333 8656027303 9330522937 11578841717 16776326777 25968081909 26362799221 27991568811 34736525151 50328980331 65313660559 79088397663 81051892019 102635752307 127367258887 184539594547 195940981677 243155676057 307907256921 382101776661 553618783641 718450266149 891570812209 961043862511 2155350798447 2674712436627 2883131587533 6727307037577 10571482487621 20181921112731 31714447462863 74000377413347 222001132240041