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212142243222 = 232713283457643
BaseRepresentation
bin1100010110010010101…
…0011011110110010110
3202021120120001112212100
43011210222123312112
511433431403240342
6241242400302530
721220040213010
oct3054452336626
9667516045770
10212142243222
1181a72847258
1235146011a46
131700aa98090
14a3a69691b0
1557b9440e4c
hex3164a9bd96

212142243222 has 96 divisors (see below), whose sum is σ = 567712873728. Its totient is φ = 55751779008.

The previous prime is 212142243197. The next prime is 212142243223. The reversal of 212142243222 is 222342241212.

212142243222 is a `hidden beast` number, since 2 + 1 + 214 + 224 + 3 + 222 = 666.

212142243222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212142243223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234733 + ... + 692375.

It is an arithmetic number, because the mean of its divisors is an integer number (5913675768).

Almost surely, 2212142243222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212142243222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283856436864).

212142243222 is an abundant number, since it is smaller than the sum of its proper divisors (355570630506).

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

212142243222 is a wasteful number, since it uses less digits than its factorization.

212142243222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457954 (or 457951 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 212142243222 its reverse (222342241212), we get a palindrome (434484484434).

The spelling of 212142243222 in words is "two hundred twelve billion, one hundred forty-two million, two hundred forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 283 546 566 819 849 1638 1698 1981 2547 3679 3962 5094 5943 7358 11037 11886 17829 22074 25753 33111 35658 51506 66222 77259 154518 231777 457643 463554 915286 1372929 2745858 3203501 4118787 5949359 6407002 8237574 9610503 11898718 17848077 19221006 28831509 35696154 41645513 53544231 57663018 83291026 107088462 124936539 129512969 249873078 259025938 374809617 388538907 749619234 777077814 906590783 1165616721 1683668597 1813181566 2331233442 2719772349 3367337194 5051005791 5439544698 8159317047 10102011582 11785680179 15153017373 16318634094 23571360358 30306034746 35357040537 70714081074 106071121611 212142243222