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1166000220 = 2232571184127
BaseRepresentation
bin100010101111111…
…1100000001011100
310000021000221121100
41011133330001130
54341444001340
6311411233100
740615560360
oct10537740134
93007027540
101166000220
115491a4250
122865a8790
1315774ba78
14b0bdd2a0
156c571830
hex457fc05c

1166000220 has 144 divisors (see below), whose sum is σ = 4409653248. Its totient is φ = 242282880.

The previous prime is 1166000219. The next prime is 1166000279. The reversal of 1166000220 is 220006611.

It is a happy number.

1166000220 is a `hidden beast` number, since 1 + 1 + 660 + 0 + 0 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1166000193 and 1166000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28204 + ... + 55923.

It is an arithmetic number, because the mean of its divisors is an integer number (30622592).

Almost surely, 21166000220 is an apocalyptic number.

1166000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166000220 is an abundant number, since it is smaller than the sum of its proper divisors (3243653028).

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

1166000220 is a wasteful number, since it uses less digits than its factorization.

1166000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84160 (or 84155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1166000220 is about 34146.7453793184. The cubic root of 1166000220 is about 1052.5261082474.

Adding to 1166000220 its reverse (220006611), we get a palindrome (1386006831).

The spelling of 1166000220 in words is "one billion, one hundred sixty-six million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 84127 168254 252381 336508 420635 504762 588889 757143 841270 925397 1009524 1177778 1261905 1514286 1682540 1766667 1850794 2355556 2523810 2776191 2944445 3028572 3533334 3701588 3785715 4626985 5047620 5300001 5552382 5888890 6477779 7066668 7571430 8328573 8833335 9253970 10600002 11104764 11777780 12955558 13880955 15142860 16657146 17666670 18507940 19433337 21200004 25911116 26500005 27761910 32388895 33314292 35333340 38866674 41642865 53000010 55523820 58300011 64777790 77733348 83285730 97166685 106000020 116600022 129555580 166571460 194333370 233200044 291500055 388666740 583000110 1166000220