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217252088216 = 23109249142303
BaseRepresentation
bin1100101001010100111…
…0111100100110011000
3202202202200010120102122
43022111032330212120
512024413013310331
6243445414120412
721460465165202
oct3122516744630
9682680116378
10217252088216
118415515a449
1236131350108
13176436065b7
14a72d461772
1559b7d4417b
hex32953bc998

217252088216 has 16 divisors (see below), whose sum is σ = 411084801600. Its totient is φ = 107629474464.

The previous prime is 217252088173. The next prime is 217252088239. The reversal of 217252088216 is 612880252712.

217252088216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124570280 + ... + 124572023.

It is an arithmetic number, because the mean of its divisors is an integer number (25692800100).

Almost surely, 2217252088216 is an apocalyptic number.

It is an amenable number.

217252088216 is a deficient number, since it is larger than the sum of its proper divisors (193832713384).

217252088216 is a wasteful number, since it uses less digits than its factorization.

217252088216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249142418 (or 249142414 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 217252088216 in words is "two hundred seventeen billion, two hundred fifty-two million, eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 109 218 436 872 249142303 498284606 996569212 1993138424 27156511027 54313022054 108626044108 217252088216