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1118414220 = 2235721134583
BaseRepresentation
bin100001010101001…
…1010010110001100
32212221111022212220
41002222122112030
54242303223340
6302551255340
736500235600
oct10252322614
92787438786
101118414220
11524352180
1227267a550
1314a92a381
14a8773500
15682c1ed0
hex42a9a58c

1118414220 has 144 divisors (see below), whose sum is σ = 3974116608. Its totient is φ = 232391040.

The previous prime is 1118414179. The next prime is 1118414237. The reversal of 1118414220 is 224148111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15049 + ... + 49631.

It is an arithmetic number, because the mean of its divisors is an integer number (27598032).

Almost surely, 21118414220 is an apocalyptic number.

1118414220 is a gapful number since it is divisible by the number (10) 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 1118414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987058304).

1118414220 is an abundant number, since it is smaller than the sum of its proper divisors (2855702388).

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

1118414220 is a wasteful number, since it uses less digits than its factorization.

1118414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34620 (or 34611 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1118414220 is about 33442.7005488492. The cubic root of 1118414220 is about 1038.0084606956.

The spelling of 1118414220 in words is "one billion, one hundred eighteen million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 34583 69166 103749 138332 172915 207498 242081 345830 380413 414996 484162 518745 691660 726243 760826 968324 1037490 1141239 1210405 1452486 1521652 1694567 1902065 2074980 2282478 2420810 2662891 2904972 3389134 3631215 3804130 4564956 4841620 5083701 5325782 5706195 6778268 7262430 7608260 7988673 8472835 10167402 10651564 11412390 13314455 14524860 15977346 16945670 18640237 20334804 22824780 25418505 26628910 31954692 33891340 37280474 39943365 50837010 53257820 55920711 74560948 79886730 93201185 101674020 111841422 159773460 186402370 223682844 279603555 372804740 559207110 1118414220