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212242647204 = 22327415672
BaseRepresentation
bin1100010110101010100…
…1011100100010100100
3202021211112222121020100
43011222221130202210
511434133104202304
6241300344304100
721222366510000
oct3055251344244
9667745877210
10212242647204
1182014494255
1235173772030
1317025820713
14a3b6023700
1557c3175439
hex316aa5c8a4

212242647204 has 135 divisors (see below), whose sum is σ = 626281715787. Its totient is φ = 60602057712.

The previous prime is 212242647191. The next prime is 212242647233. The reversal of 212242647204 is 402746242212.

The square root of 212242647204 is 460698.

It is a perfect power (a square), and thus also a powerful number.

212242647204 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 2 + 647 + 2 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135444429 + ... + 135445995.

Almost surely, 2212242647204 is an apocalyptic number.

212242647204 is the 460698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212242647204

212242647204 is an abundant number, since it is smaller than the sum of its proper divisors (414039068583).

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

212242647204 is an frugal number, since it uses more digits than its factorization.

212242647204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Multiplying 212242647204 by its sum of digits (36), we get a square (7640735299344 = 27641882).

212242647204 divided by its sum of digits (36) gives a square (5895629089 = 767832).

Adding to 212242647204 its reverse (402746242212), we get a palindrome (614988889416).

The spelling of 212242647204 in words is "two hundred twelve billion, two hundred forty-two million, six hundred forty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1567 1764 2058 2401 3087 3134 4116 4701 4802 6174 6268 7203 9402 9604 10969 12348 14103 14406 18804 21609 21938 28206 28812 32907 43218 43876 56412 65814 76783 86436 98721 131628 153566 197442 230349 307132 394884 460698 537481 691047 921396 1074962 1382094 1612443 2149924 2455489 2764188 3224886 3762367 4837329 4910978 6449772 7366467 7524734 9674658 9821956 11287101 14732934 15049468 17188423 19349316 22099401 22574202 29465868 33861303 34376846 44198802 45148404 51565269 67722606 68753692 88397604 103130538 120318961 135445212 154695807 206261076 240637922 309391614 360956883 481275844 618783228 721913766 842232727 1082870649 1443827532 1684465454 2165741298 2526698181 3368930908 4331482596 5053396362 5895629089 7580094543 10106792724 11791258178 15160189086 17686887267 23582516356 30320378172 35373774534 53060661801 70747549068 106121323602 212242647204