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2168845380 = 22325131754521
BaseRepresentation
bin1000000101000101…
…1111010001000100
312121011001202112200
42001101133101010
513420211023010
6555113514500
7104513611242
oct20121372104
95534052480
102168845380
11a132906a9
12506412a30
13287443c80
1416808b792
15ca615cc0
hex8145f444

2168845380 has 144 divisors (see below), whose sum is σ = 7501791024. Its totient is φ = 502456320.

The previous prime is 2168845373. The next prime is 2168845387. The reversal of 2168845380 is 835488612.

It is an interprime number because it is at equal distance from previous prime (2168845373) and next prime (2168845387).

It can be written as a sum of positive squares in 8 ways, for example, as 60933636 + 2107911744 = 7806^2 + 45912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2168845387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12520 + ... + 67040.

It is an arithmetic number, because the mean of its divisors is an integer number (52095771).

Almost surely, 22168845380 is an apocalyptic number.

2168845380 is a gapful number since it is divisible by the number (20) 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 2168845380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750895512).

2168845380 is an abundant number, since it is smaller than the sum of its proper divisors (5332945644).

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

2168845380 is a wasteful number, since it uses less digits than its factorization.

2168845380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54566 (or 54561 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2168845380 is about 46570.8640675691. The cubic root of 2168845380 is about 1294.4229287863.

The spelling of 2168845380 in words is "two billion, one hundred sixty-eight million, eight hundred forty-five thousand, three hundred eighty".

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 54521 109042 163563 218084 272605 327126 490689 545210 654252 708773 817815 926857 981378 1090420 1417546 1635630 1853714 1962756 2126319 2453445 2780571 2835092 3271260 3543865 3707428 4252638 4634285 4906890 5561142 6378957 7087730 8341713 8505276 9268570 9813780 10631595 11122284 12049141 12757914 13902855 14175460 16683426 18537140 21263190 24098282 25515828 27805710 31894785 33366852 36147423 41708565 42526380 48196564 55611420 60245705 63789570 72294846 83417130 108442269 120491410 127579140 144589692 166834260 180737115 216884538 240982820 361474230 433769076 542211345 722948460 1084422690 2168845380