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212385915 = 3357379593
BaseRepresentation
bin11001010100011…
…00000001111011
3112210122022201000
430222030001323
5413332322130
633024100043
75156151630
oct1452140173
9483568630
10212385915
11a9982755
125b164623
1335002b51
14202c8187
15139a4260
hexca8c07b

212385915 has 64 divisors (see below), whose sum is σ = 433382400. Its totient is φ = 96671232.

The previous prime is 212385889. The next prime is 212385917. The reversal of 212385915 is 519583212.

It is not a de Polignac number, because 212385915 - 210 = 212384891 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212385915.

It is not an unprimeable number, because it can be changed into a prime (212385917) 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 63 ways as a sum of consecutive naturals, for example, 357859 + ... + 358451.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2212385915 is an apocalyptic number.

212385915 is an abundant number, since it is smaller than the sum of its proper divisors (220996485).

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

212385915 is a wasteful number, since it uses less digits than its factorization.

212385915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 212385915 is about 14573.4661285502. The cubic root of 212385915 is about 596.6347858431.

The spelling of 212385915 in words is "two hundred twelve million, three hundred eighty-five thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 379 593 945 1137 1779 1895 2653 2965 3411 4151 5337 5685 7959 8895 10233 12453 13265 16011 17055 20755 23877 26685 37359 39795 51165 62265 71631 80055 112077 119385 186795 224747 358155 560385 674241 1123735 1573229 2022723 3371205 4719687 6068169 7866145 10113615 14159061 23598435 30340845 42477183 70795305 212385915