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999998820 = 22325171731889
BaseRepresentation
bin111011100110101…
…100010101100100
32120200200012111100
4323212230111210
54021444430240
6243121240100
733531564312
oct7346542544
92520605440
10999998820
11473522a07
1223aa93030
1312c2397a2
1496b4b0b2
155cbd0e30
hex3b9ac564

999998820 has 144 divisors (see below), whose sum is σ = 3232036080. Its totient is φ = 249397248.

The previous prime is 999998801. The next prime is 999998843. The reversal of 999998820 is 28899999.

It can be written as a sum of positive squares in 8 ways, for example, as 91699776 + 908299044 = 9576^2 + 30138^2 .

It is a nialpdrome in base 10.

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, 528436 + ... + 530324.

It is an arithmetic number, because the mean of its divisors is an integer number (22444695).

Almost surely, 2999998820 is an apocalyptic number.

999998820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999998820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616018040).

999998820 is an abundant number, since it is smaller than the sum of its proper divisors (2232037260).

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

999998820 is a wasteful number, since it uses less digits than its factorization.

999998820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The square root of 999998820 is about 31622.7579442401. The cubic root of 999998820 is about 999.9996066665. Note that the first 3 decimals are identical.

The spelling of 999998820 in words is "nine hundred ninety-nine million, nine hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 173 180 204 255 306 340 346 510 519 612 692 765 865 1020 1038 1530 1557 1730 1889 2076 2595 2941 3060 3114 3460 3778 5190 5667 5882 6228 7556 7785 8823 9445 10380 11334 11764 14705 15570 17001 17646 18890 22668 26469 28335 29410 31140 32113 34002 35292 37780 44115 52938 56670 58820 64226 68004 85005 88230 96339 105876 113340 128452 132345 160565 170010 176460 192678 264690 289017 321130 326797 340020 385356 481695 529380 578034 642260 653594 963390 980391 1156068 1307188 1445085 1633985 1926780 1960782 2890170 2941173 3267970 3921564 4901955 5555549 5780340 5882346 6535940 9803910 11111098 11764692 14705865 16666647 19607820 22222196 27777745 29411730 33333294 49999941 55555490 58823460 66666588 83333235 99999882 111110980 166666470 199999764 249999705 333332940 499999410 999998820