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212277523542 = 23723743453823
BaseRepresentation
bin1100010110110010111…
…0011111010001010110
3202021220222121111120120
43011230232133101112
511434221021223132
6241304032012410
721223302115200
oct3055456372126
9667828544516
10212277523542
1182032145377
1235183391106
131702cb120c6
14a3ba901770
1557c626402c
hex316cb9f456

212277523542 has 96 divisors (see below), whose sum is σ = 519014909952. Its totient is φ = 57639024576.

The previous prime is 212277523511. The next prime is 212277523553. The reversal of 212277523542 is 245325772212.

It is a super-2 number, since 2×2122775235422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 212277523494 and 212277523503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240843 + ... + 694665.

It is an arithmetic number, because the mean of its divisors is an integer number (5406405312).

Almost surely, 2212277523542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212277523542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259507454976).

212277523542 is an abundant number, since it is smaller than the sum of its proper divisors (306737386410).

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

212277523542 is a wasteful number, since it uses less digits than its factorization.

212277523542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453922 (or 453915 counting only the distinct ones).

The product of its digits is 470400, while the sum is 42.

The spelling of 212277523542 in words is "two hundred twelve billion, two hundred seventy-seven million, five hundred twenty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 43 49 74 86 98 111 129 147 222 258 259 294 301 518 602 777 903 1554 1591 1806 1813 2107 3182 3626 4214 4773 5439 6321 9546 10878 11137 12642 22274 33411 66822 77959 155918 233877 453823 467754 907646 1361469 2722938 3176761 6353522 9530283 16791451 19060566 19514389 22237327 33582902 39028778 44474654 50374353 58543167 66711981 100748706 117086334 117540157 133423962 136600723 235080314 273201446 352620471 409802169 705240942 722032393 819604338 822781099 956205061 1444064786 1645562198 1912410122 2166097179 2468343297 2868615183 4332194358 4936686594 5054226751 5737230366 10108453502 15162680253 30325360506 35379587257 70759174514 106138761771 212277523542