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9055091220 = 22357227711119
BaseRepresentation
bin10000110111011100…
…11011101000010100
3212101001202021221220
420123232123220110
5122021100404340
64054310010340
7440252001600
oct103356335024
925331667856
109055091220
1139273aa06a
1219086469b0
13b13ccbb56
1461c876500
1537ee5eed0
hex21bb9ba14

9055091220 has 144 divisors (see below), whose sum is σ = 29602863360. Its totient is φ = 2062077696.

The previous prime is 9055091197. The next prime is 9055091267. The reversal of 9055091220 is 221905509.

9055091220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808821 + ... + 819939.

It is an arithmetic number, because the mean of its divisors is an integer number (205575440).

Almost surely, 29055091220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9055091220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801431680).

9055091220 is an abundant number, since it is smaller than the sum of its proper divisors (20547772140).

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

9055091220 is a wasteful number, since it uses less digits than its factorization.

9055091220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 9055091220 is about 95158.2430480933. The cubic root of 9055091220 is about 2084.3194277678.

Adding to 9055091220 its reverse (221905509), we get a palindrome (9276996729).

The spelling of 9055091220 in words is "nine billion, fifty-five million, ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 277 294 420 490 554 588 735 831 980 1108 1385 1470 1662 1939 2770 2940 3324 3878 4155 5540 5817 7756 8310 9695 11119 11634 13573 16620 19390 22238 23268 27146 29085 33357 38780 40719 44476 54292 55595 58170 66714 67865 77833 81438 111190 116340 133428 135730 155666 162876 166785 203595 222380 233499 271460 311332 333570 389165 407190 466998 544831 667140 778330 814380 933996 1089662 1167495 1556660 1634493 2179324 2334990 2724155 3079963 3268986 4669980 5448310 6159926 6537972 8172465 9239889 10896620 12319852 15399815 16344930 18479778 21559741 30799630 32689860 36959556 43119482 46199445 61599260 64679223 86238964 92398890 107798705 129358446 150918187 184797780 215597410 258716892 301836374 323396115 431194820 452754561 603672748 646792230 754590935 905509122 1293584460 1509181870 1811018244 2263772805 3018363740 4527545610 9055091220