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9021666420 = 223251317226789
BaseRepresentation
bin10000110011011101…
…11011010001110100
3212021201212010202100
420121232323101310
5121434021311140
64051113342100
7436364620314
oct103156732164
925251763670
109021666420
11390a54a568
1218b9407930
13b0a0c8070
14618255444
1537c05b530
hex219bbb474

9021666420 has 144 divisors (see below), whose sum is σ = 31204489680. Its totient is φ = 2090078208.

The previous prime is 9021666397. The next prime is 9021666503. The reversal of 9021666420 is 246661209.

It can be written as a sum of positive squares in 8 ways, for example, as 468376164 + 8553290256 = 21642^2 + 92484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 73615 + ... + 153174.

It is an arithmetic number, because the mean of its divisors is an integer number (216697845).

Almost surely, 29021666420 is an apocalyptic number.

9021666420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9021666420 is an abundant number, since it is smaller than the sum of its proper divisors (22182823260).

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

9021666420 is a wasteful number, since it uses less digits than its factorization.

9021666420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226834 (or 226829 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9021666420 is about 94982.4532216346. The cubic root of 9021666420 is about 2081.7516694517.

The spelling of 9021666420 in words is "nine billion, twenty-one million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 226789 453578 680367 907156 1133945 1360734 2041101 2267890 2721468 2948257 3401835 3855413 4082202 4535780 5896514 6803670 7710826 8164404 8844771 10205505 11566239 11793028 13607340 14741285 15421652 17689542 19277065 20411010 23132478 26534313 29482570 34698717 35379084 38554130 40822020 44223855 46264956 50120369 53068626 57831195 58965140 69397434 77108260 88447710 100240738 106137252 115662390 132671565 138794868 150361107 173493585 176895420 200481476 231324780 250601845 265343130 300722214 346987170 451083321 501203690 530686260 601444428 693974340 751805535 902166642 1002407380 1503611070 1804333284 2255416605 3007222140 4510833210 9021666420