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213433214022 = 232725314930643
BaseRepresentation
bin1100011011000110011…
…1000110010001000110
3202101220112020122212200
43012301213012101012
511444102400322042
6242014434255330
721264034246200
oct3066147062106
9671815218780
10213433214022
1182575537776
1235446427546
1317185391322
14a48a1b9770
15584294ac4c
hex31b19c6446

213433214022 has 144 divisors (see below), whose sum is σ = 551785057200. Its totient is φ = 59426849664.

The previous prime is 213433214003. The next prime is 213433214047. The reversal of 213433214022 is 220412334312.

213433214022 is a `hidden beast` number, since 2 + 13 + 433 + 214 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6949833 + ... + 6980475.

It is an arithmetic number, because the mean of its divisors is an integer number (3831840675).

Almost surely, 2213433214022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213433214022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275892528600).

213433214022 is an abundant number, since it is smaller than the sum of its proper divisors (338351843178).

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

213433214022 is a wasteful number, since it uses less digits than its factorization.

213433214022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30867 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213433214022 its reverse (220412334312), we get a palindrome (433845548334).

The spelling of 213433214022 in words is "two hundred thirteen billion, four hundred thirty-three million, two hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 149 159 294 298 318 371 441 447 477 742 882 894 954 1043 1113 1341 2086 2226 2597 2682 3129 3339 5194 6258 6678 7301 7791 7897 9387 14602 15582 15794 18774 21903 23373 23691 30643 43806 46746 47382 55279 61286 65709 71073 91929 110558 131418 142146 165837 183858 214501 275787 331674 386953 429002 497511 551574 643503 773906 995022 1160859 1287006 1501507 1624079 1930509 2321718 3003014 3248158 3482577 3861018 4504521 4565807 4872237 6965154 9009042 9131614 9744474 11368553 13513563 13697421 14616711 22737106 27027126 27394842 29233422 31960649 34105659 41092263 63921298 68211318 79579871 82184526 95881947 102316977 159159742 191763894 204633954 223724543 238739613 241987771 287645841 447449086 477479226 483975542 575291682 671173629 716218839 725963313 1342347258 1432437678 1451926626 1693914397 2013520887 2177889939 3387828794 4027041774 4355779878 5081743191 10163486382 11857400779 15245229573 23714801558 30490459146 35572202337 71144404674 106716607011 213433214022