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212211240444 = 22337712139419
BaseRepresentation
bin1100010110100011000…
…1101000110111111100
3202021202100212222021000
43011220301220313330
511434102034143234
6241253303210300
721221535532050
oct3055061506774
9667670788230
10212211240444
1181aa8792955
1235165146990
131701c175338
14a3b1ba9c60
1557c051e899
hex3168c68dfc

212211240444 has 96 divisors (see below), whose sum is σ = 628878297600. Its totient is φ = 60621730560.

The previous prime is 212211240443. The next prime is 212211240463. The reversal of 212211240444 is 444042112212.

212211240444 is a `hidden beast` number, since 2 + 1 + 2 + 211 + 2 + 4 + 0 + 444 = 666.

It is a super-2 number, since 2×2122112404442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211240443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5363767 + ... + 5403185.

It is an arithmetic number, because the mean of its divisors is an integer number (6550815600).

Almost surely, 2212211240444 is an apocalyptic number.

It is an amenable number.

212211240444 is an abundant number, since it is smaller than the sum of its proper divisors (416667057156).

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

212211240444 is a wasteful number, since it uses less digits than its factorization.

212211240444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46560 (or 46552 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212211240444 its reverse (444042112212), we get a palindrome (656253352656).

The spelling of 212211240444 in words is "two hundred twelve billion, two hundred eleven million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 7121 14242 21363 28484 39419 42726 49847 64089 78838 85452 99694 118257 128178 149541 157676 192267 199388 236514 256356 275933 299082 354771 384534 448623 473028 551866 598164 709542 769068 827799 897246 1064313 1103732 1345869 1419084 1655598 1794492 2128626 2483397 2691738 3311196 4257252 4966794 5383476 7450191 9933588 14900382 29800764 280702699 561405398 842108097 1122810796 1684216194 1964918893 2526324291 3368432388 3929837786 5052648582 5894756679 7578972873 7859675572 10105297164 11789513358 15157945746 17684270037 23579026716 30315891492 35368540074 53052810111 70737080148 106105620222 212211240444