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212216697 = 32721124197
BaseRepresentation
bin11001010011000…
…10101101111001
3112210022201120200
430221202231321
5413311413242
633020312413
75154545400
oct1451425571
9483281520
10212216697
11a9877600
125b0a2709
1334c73b14
1420282637
151396e04c
hexca62b79

212216697 has 108 divisors (see below), whose sum is σ = 405644148. Its totient is φ = 106444800.

The previous prime is 212216659. The next prime is 212216723. The reversal of 212216697 is 796612212.

It can be written as a sum of positive squares in 2 ways, for example, as 44876601 + 167340096 = 6699^2 + 12936^2 .

It is not a de Polignac number, because 212216697 - 28 = 212216441 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (212216617) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2187753 + ... + 2187849.

Almost surely, 2212216697 is an apocalyptic number.

It is an amenable number.

212216697 is a deficient number, since it is larger than the sum of its proper divisors (193427451).

212216697 is a wasteful number, since it uses less digits than its factorization.

212216697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 212216697 is about 14567.6592834951. The cubic root of 212216697 is about 596.4762879335.

The spelling of 212216697 in words is "two hundred twelve million, two hundred sixteen thousand, six hundred ninety-seven".

Divisors: 1 3 7 9 11 21 33 41 49 63 77 97 99 121 123 147 231 287 291 363 369 441 451 539 679 693 847 861 873 1067 1089 1353 1617 2009 2037 2541 2583 3157 3201 3977 4059 4753 4851 4961 5929 6027 6111 7469 7623 9471 9603 11737 11931 14259 14883 17787 18081 22099 22407 27839 28413 34727 35211 35793 42777 43747 44649 52283 53361 66297 67221 82159 83517 104181 105633 131241 156849 194873 198891 243089 246477 250551 306229 312543 393723 470547 481217 575113 584619 729267 739431 918687 1443651 1725339 1753857 2143603 2187801 2756061 3368519 4330953 5176017 6430809 10105557 19292427 23579633 30316671 70738899 212216697