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212501212 = 227112937643
BaseRepresentation
bin11001010101010…
…00001011011100
3112210212011212021
430222220023130
5413400014322
633030345524
75160142030
oct1452501334
9483764767
10212501212
11a9a51340
125b1bb2a4
1335043481
14203181c0
15139c84c7
hexcaa82dc

212501212 has 96 divisors (see below), whose sum is σ = 493355520. Its totient is φ = 77656320.

The previous prime is 212501203. The next prime is 212501213. The reversal of 212501212 is 212105212.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212501213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330163 + ... + 330805.

It is an arithmetic number, because the mean of its divisors is an integer number (5139120).

Almost surely, 2212501212 is an apocalyptic number.

212501212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212501212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246677760).

212501212 is an abundant number, since it is smaller than the sum of its proper divisors (280854308).

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

212501212 is a wasteful number, since it uses less digits than its factorization.

212501212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 212501212 is about 14577.4213083110. The cubic root of 212501212 is about 596.7427304726.

Adding to 212501212 its reverse (212105212), we get a palindrome (424606424).

The spelling of 212501212 in words is "two hundred twelve million, five hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 29 37 44 58 74 77 116 148 154 203 259 308 319 406 407 518 638 643 812 814 1036 1073 1276 1286 1628 2146 2233 2572 2849 4292 4466 4501 5698 7073 7511 8932 9002 11396 11803 14146 15022 18004 18647 23606 23791 28292 30044 37294 47212 47582 49511 74588 82621 95164 99022 130529 165242 166537 198044 205117 261058 261701 330484 333074 410234 522116 523402 666148 689939 820468 1046804 1379878 1435819 1831907 2759756 2871638 3663814 4829573 5743276 7327628 7589329 9659146 15178658 19318292 30357316 53125303 106250606 212501212