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2118828240 = 243352114649
BaseRepresentation
bin111111001001010…
…1100000011010000
312110122221121221000
41332102230003100
513314410000430
6550125502000
7103335512544
oct17622540320
95418847830
102118828240
11998029021
124b1711900
13279c80b29
1416158ba24
15c6035e60
hex7e4ac0d0

2118828240 has 160 divisors (see below), whose sum is σ = 7334352000. Its totient is φ = 562222080.

The previous prime is 2118828193. The next prime is 2118828293. The reversal of 2118828240 is 428288112.

It is a super-2 number, since 2×21188282402 = 8978866221242995200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2118828195 and 2118828204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453436 + ... + 458084.

It is an arithmetic number, because the mean of its divisors is an integer number (45839700).

Almost surely, 22118828240 is an apocalyptic number.

2118828240 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 2118828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667176000).

2118828240 is an abundant number, since it is smaller than the sum of its proper divisors (5215523760).

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

2118828240 is a wasteful number, since it uses less digits than its factorization.

2118828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2118828240 is about 46030.7314736579. The cubic root of 2118828240 is about 1284.3949348496.

The spelling of 2118828240 in words is "two billion, one hundred eighteen million, eight hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 211 216 240 270 360 422 432 540 633 720 844 1055 1080 1266 1688 1899 2110 2160 2532 3165 3376 3798 4220 4649 5064 5697 6330 7596 8440 9298 9495 10128 11394 12660 13947 15192 16880 18596 18990 22788 23245 25320 27894 28485 30384 37192 37980 41841 45576 46490 50640 55788 56970 69735 74384 75960 83682 91152 92980 111576 113940 125523 139470 151920 167364 185960 209205 223152 227880 251046 278940 334728 371920 418410 455760 502092 557880 627615 669456 836820 980939 1004184 1115760 1255230 1673640 1961878 2008368 2510460 2942817 3347280 3923756 4904695 5020920 5885634 7847512 8828451 9809390 10041840 11771268 14714085 15695024 17656902 19618780 23542536 26485353 29428170 35313804 39237560 44142255 47085072 52970706 58856340 70627608 78475120 88284510 105941412 117712680 132426765 141255216 176569020 211882824 235425360 264853530 353138040 423765648 529707060 706276080 1059414120 2118828240