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822130965 = 3551753751
BaseRepresentation
bin110001000000001…
…011100100010101
32010021222120200000
4301000023210111
53140431142330
6213325041513
726241666165
oct6100134425
92107876600
10822130965
11392087187
121ab3b6299
13101431236
147b28a5a5
154c299560
hex3100b915

822130965 has 96 divisors (see below), whose sum is σ = 1596381696. Its totient is φ = 404352000.

The previous prime is 822130927. The next prime is 822130993. The reversal of 822130965 is 569031228.

It is not a de Polignac number, because 822130965 - 213 = 822122773 is a prime.

It is a super-2 number, since 2×8221309652 = 1351798647223662450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1094340 + ... + 1095090.

It is an arithmetic number, because the mean of its divisors is an integer number (16628976).

Almost surely, 2822130965 is an apocalyptic number.

822130965 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

822130965 is a deficient number, since it is larger than the sum of its proper divisors (774250731).

822130965 is a wasteful number, since it uses less digits than its factorization.

822130965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 822130965 is about 28672.8262471630. The cubic root of 822130965 is about 936.8002586495.

The spelling of 822130965 in words is "eight hundred twenty-two million, one hundred thirty thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 53 81 85 135 153 159 243 255 265 405 459 477 751 765 795 901 1215 1377 1431 2253 2295 2385 2703 3755 4131 4293 4505 6759 6885 7155 8109 11265 12767 12879 13515 20277 20655 21465 24327 33795 38301 39803 40545 60831 63835 64395 72981 101385 114903 119409 121635 182493 191505 199015 218943 304155 344709 358227 364905 574515 597045 676651 912465 1034127 1074681 1094715 1723545 1791135 2029953 3102381 3224043 3383255 5170635 5373405 6089859 9672129 10149765 15511905 16120215 18269577 30449295 48360645 54808731 91347885 164426193 274043655 822130965