Search a number
-
+
220213111140 = 2232511176542279
BaseRepresentation
bin1100110100010110111…
…0010110100101100100
3210001102000211010021100
43031011232112211210
512101444024024030
6245055311120100
721624041363121
oct3150556264544
9701360733240
10220213111140
1185434618830
1236818b13030
13179c5bc1a79
14a9307dd748
155adcc89360
hex3345b96964

220213111140 has 144 divisors (see below), whose sum is σ = 771570334080. Its totient is φ = 50244695040.

The previous prime is 220213111087. The next prime is 220213111177. The reversal of 220213111140 is 41111312022.

220213111140 is a `hidden beast` number, since 220 + 21 + 311 + 114 + 0 = 666.

220213111140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237480 + ... + 3304799.

It is an arithmetic number, because the mean of its divisors is an integer number (5358127320).

Almost surely, 2220213111140 is an apocalyptic number.

220213111140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220213111140 is an abundant number, since it is smaller than the sum of its proper divisors (551357222940).

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

220213111140 is a wasteful number, since it uses less digits than its factorization.

220213111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542322 (or 6542317 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220213111140 its reverse (41111312022), we get a palindrome (261324423162).

The spelling of 220213111140 in words is "two hundred twenty billion, two hundred thirteen million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 6542279 13084558 19626837 26169116 32711395 39253674 58880511 65422790 71965069 78507348 98134185 111218743 117761022 130845580 143930138 196268370 215895207 222437486 235522044 287860276 294402555 333656229 359825345 392536740 431790414 444874972 556093715 588805110 647685621 667312458 719650690 863580828 1000968687 1079476035 1112187430 1177610220 1223406173 1295371242 1334624916 1439301380 1668281145 2001937374 2158952070 2224374860 2446812346 2590742484 3238428105 3336562290 3670218519 4003874748 4317904140 4893624692 5004843435 6117030865 6476856210 6673124580 7340437038 10009686870 11010655557 12234061730 12953712420 14680874076 18351092595 20019373740 22021311114 24468123460 36702185190 44042622228 55053277785 73404370380 110106555570 220213111140