Search a number
-
+
212474474212 = 2271113127417839
BaseRepresentation
bin1100010111100001110…
…1110010111011100100
3202022102201012122002211
43011320131302323210
511440121431133322
6241335345213204
721231213142330
oct3057035627344
9668381178084
10212474474212
1182123335320
1235219331204
131706186c470
14a3d8b2c7c0
1557d86b9b77
hex3178772ee4

212474474212 has 96 divisors (see below), whose sum is σ = 503172956160. Its totient is φ = 75812526720.

The previous prime is 212474474137. The next prime is 212474474221.

212474474212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299589 + ... + 717427.

It is an arithmetic number, because the mean of its divisors is an integer number (5241384960).

Almost surely, 2212474474212 is an apocalyptic number.

212474474212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212474474212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251586478080).

212474474212 is an abundant number, since it is smaller than the sum of its proper divisors (290698481948).

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

212474474212 is a wasteful number, since it uses less digits than its factorization.

212474474212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418001 (or 417999 counting only the distinct ones).

The product of its digits is 200704, while the sum is 40.

It can be divided in two parts, 212474 and 474212, that added together give a palindrome (686686).

The spelling of 212474474212 in words is "two hundred twelve billion, four hundred seventy-four million, four hundred seventy-four thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 127 143 154 182 254 286 308 364 508 572 889 1001 1397 1651 1778 2002 2794 3302 3556 4004 5588 6604 9779 11557 18161 19558 23114 36322 39116 46228 72644 127127 254254 417839 508508 835678 1671356 2924873 4596229 5431907 5849746 9192458 10863814 11699492 18384916 21727628 32173603 38023349 53065553 59750977 64347206 76046698 106131106 119501954 128694412 152093396 212262212 239003908 371458871 418256839 583721083 689852189 742917742 836513678 1167442166 1379704378 1485835484 1673027356 2334884332 2759408756 4086047581 4828965323 7588374079 8172095162 9657930646 15176748158 16344190324 19315861292 30353496316 53118618553 106237237106 212474474212