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222303212031132 = 2232157601334719553
BaseRepresentation
bin110010100010111011111111…
…111111000100110010011100
31002011002222110001212112022100
4302202323333333010302130
5213114203434234444012
62104444404042445100
764552606554516321
oct6242737777046234
91064088401775270
10222303212031132
1164918298838a51
1220b23a27b03790
1397071452275cb
143cc77662b0b48
151aa793b5898dc
hexca2efffc4c9c

222303212031132 has 144 divisors (see below), whose sum is σ = 566651484296352. Its totient is φ = 73480858214400.

The previous prime is 222303212031119. The next prime is 222303212031281. The reversal of 222303212031132 is 231130212303222.

222303212031132 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 0 + 321 + 20 + 311 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 222303212031096 and 222303212031105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11369253868 + ... + 11369273420.

It is an arithmetic number, because the mean of its divisors is an integer number (3935079752058).

Almost surely, 2222303212031132 is an apocalyptic number.

It is an amenable number.

222303212031132 is an abundant number, since it is smaller than the sum of its proper divisors (344348272265220).

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

222303212031132 is a wasteful number, since it uses less digits than its factorization.

222303212031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23668 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222303212031132 its reverse (231130212303222), we get a palindrome (453433424334354).

The spelling of 222303212031132 in words is "two hundred twenty-two trillion, three hundred three billion, two hundred twelve million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 601 628 942 1202 1413 1803 1884 2404 2826 3347 3606 5409 5652 6694 7212 10041 10818 13388 19553 20082 21636 30123 39106 40164 58659 60246 78212 94357 117318 120492 175977 188714 234636 283071 351954 377428 525479 566142 703908 849213 1050958 1132284 1576437 1698426 2011547 2101916 3069821 3152874 3396852 4023094 4729311 6034641 6139642 6305748 8046188 9209463 9458622 11751353 12069282 12279284 18103923 18418926 18917244 23502706 24138564 27628389 35254059 36207846 36837852 47005412 55256778 65443891 70508118 72415692 105762177 110513556 130887782 141016236 196331673 211524354 261775564 315812879 392663346 423048708 588995019 631625758 785326692 947438637 1177990038 1263251516 1844962421 1894877274 2355980076 2842315911 3689924842 3789754548 5534887263 5684631822 7379849684 10274690887 11069774526 11369263644 16604661789 20549381774 22139549052 30824072661 33209323578 39331778491 41098763548 61648145322 66418647156 78663556982 92472217983 117995335473 123296290644 157327113964 184944435966 235990670946 353986006419 369888871932 471981341892 707972012838 1415944025676 6175089223087 12350178446174 18525267669261 24700356892348 37050535338522 55575803007783 74101070677044 111151606015566 222303212031132