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132205566 = 231741101313
BaseRepresentation
bin1111110000101…
…00101111111110
3100012202201221110
413320110233332
5232321034231
621041342450
73163504653
oct770245776
9305681843
10132205566
1168698aa9
1238337a26
132150b65c
14137b5c2a
15b917046
hex7e14bfe

132205566 has 64 divisors (see below), whose sum is σ = 290558016. Its totient is φ = 39936000.

The previous prime is 132205543. The next prime is 132205571. The reversal of 132205566 is 665502231.

132205566 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422226 + ... + 422538.

It is an arithmetic number, because the mean of its divisors is an integer number (4539969).

Almost surely, 2132205566 is an apocalyptic number.

132205566 is an abundant number, since it is smaller than the sum of its proper divisors (158352450).

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

132205566 is a wasteful number, since it uses less digits than its factorization.

132205566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 132205566 is about 11498.0679246559. The cubic root of 132205566 is about 509.4285101726.

Adding to 132205566 its reverse (665502231), we get a palindrome (797707797).

The spelling of 132205566 in words is "one hundred thirty-two million, two hundred five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 17 34 41 51 82 101 102 123 202 246 303 313 606 626 697 939 1394 1717 1878 2091 3434 4141 4182 5151 5321 8282 10302 10642 12423 12833 15963 24846 25666 31613 31926 38499 63226 70397 76998 94839 140794 189678 211191 218161 422382 436322 537421 654483 1074842 1296133 1308966 1612263 2592266 3224526 3888399 7776798 22034261 44068522 66102783 132205566