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212311344224 = 25721143711839
BaseRepresentation
bin1100010110111010111…
…1100000010001100000
3202022000100020202211102
43011232233200101200
511434303201003344
6241311240533532
721224162435600
oct3055657402140
9668010222742
10212311344224
118204a245351
12351927812a8
1317036b24145
14a3c11c6c00
1557c91e4e4e
hex316ebe0460

212311344224 has 72 divisors (see below), whose sum is σ = 486314478720. Its totient is φ = 90974935296.

The previous prime is 212311344163. The next prime is 212311344239. The reversal of 212311344224 is 422443113212.

It is a super-2 number, since 2×2123113442242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 17927297 + ... + 17939135.

It is an arithmetic number, because the mean of its divisors is an integer number (6754367760).

Almost surely, 2212311344224 is an apocalyptic number.

It is an amenable number.

212311344224 is an abundant number, since it is smaller than the sum of its proper divisors (274003134496).

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

212311344224 is a wasteful number, since it uses less digits than its factorization.

212311344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300 (or 23285 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 212311344224 its reverse (422443113212), we get a palindrome (634754457436).

The spelling of 212311344224 in words is "two hundred twelve billion, three hundred eleven million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 11437 11839 22874 23678 45748 47356 80059 82873 91496 94712 160118 165746 182992 189424 320236 331492 365984 378848 560413 580111 640472 662984 1120826 1160222 1280944 1325968 2241652 2320444 2561888 2651936 4483304 4640888 8966608 9281776 17933216 18563552 135402643 270805286 541610572 947818501 1083221144 1895637002 2166442288 3791274004 4332884576 6634729507 7582548008 13269459014 15165096016 26538918028 30330192032 53077836056 106155672112 212311344224