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212333222112 = 253111711827831
BaseRepresentation
bin1100010111000000001…
…0111101100011100000
3202022001212102021122120
43011300002331203200
511434324301101422
6241313341504240
721224546415534
oct3056002754340
9668055367576
10212333222112
1182060628550
1235199b72080
131703b51423b
14a3c407dbc4
1557cb0b745c
hex31700bd8e0

212333222112 has 96 divisors (see below), whose sum is σ = 643812551424. Its totient is φ = 60558489600.

The previous prime is 212333222099. The next prime is 212333222131. The reversal of 212333222112 is 211222333212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5895964 + ... + 5931867.

It is an arithmetic number, because the mean of its divisors is an integer number (6706380744).

Almost surely, 2212333222112 is an apocalyptic number.

212333222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212333222112 is an abundant number, since it is smaller than the sum of its proper divisors (431479329312).

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

212333222112 is a wasteful number, since it uses less digits than its factorization.

212333222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11827872 (or 11827864 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 212333222112 its reverse (211222333212), we get a palindrome (423555555324).

Subtracting from 212333222112 its reverse (211222333212), we obtain a square (1110888900 = 333302).

The spelling of 212333222112 in words is "two hundred twelve billion, three hundred thirty-three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 11827831 23655662 35483493 47311324 70966986 94622648 130106141 141933972 189245296 201073127 260212282 283867944 378490592 390318423 402146254 520424564 567735888 603219381 780636846 804292508 1040849128 1135471776 1206438762 1561273692 1608585016 2081698256 2211804397 2412877524 3122547384 3217170032 4163396512 4423608794 4825755048 6245094768 6434340064 6635413191 8847217588 9651510096 12490189536 13270826382 17694435176 19303020192 26541652764 35388870352 53083305528 70777740704 106166611056 212333222112