Search a number
-
+
28224433442282 = 27112294271187387
BaseRepresentation
bin1100110101011100000110…
…10101000100110111101010
310200221020012021222001202012
412122232003111010313222
512144412114430123112
6140010043053435522
75642101525563560
oct632560325046752
9120836167861665
1028224433442282
118aa1a07961280
1231ba10179bba2
1312997252436cc
146d80d9a05a30
1533e2b032e022
hex19ab83544dea

28224433442282 has 64 divisors (see below), whose sum is σ = 53026546544640. Its totient is φ = 10945890849600.

The previous prime is 28224433442243. The next prime is 28224433442287.

28224433442282 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 28224433442282.

It is not an unprimeable number, because it can be changed into a prime (28224433442287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150527393 + ... + 150714779.

It is an arithmetic number, because the mean of its divisors is an integer number (828539789760).

Almost surely, 228224433442282 is an apocalyptic number.

28224433442282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28224433442282 is a deficient number, since it is larger than the sum of its proper divisors (24802113102358).

28224433442282 is a wasteful number, since it uses less digits than its factorization.

28224433442282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191907.

The product of its digits is 9437184, while the sum is 50.

The spelling of 28224433442282 in words is "twenty-eight trillion, two hundred twenty-four billion, four hundred thirty-three million, four hundred forty-two thousand, two hundred eighty-two".

Divisors: 1 2 7 11 14 22 77 154 229 458 1603 2519 3206 4271 5038 8542 17633 29897 35266 46981 59794 93962 187387 328867 374774 657734 978059 1311709 1956118 2061257 2623418 4122514 6846413 10758649 13692826 14428799 21517298 28857598 42911623 75310543 85823246 150621086 300381361 472027853 600762722 800329877 944055706 1600659754 3304194971 5602309139 6608389942 8803628647 11204618278 17607257294 61625400529 123250801058 183275541833 366551083666 1282928792831 2016030960163 2565857585662 4032061920326 14112216721141 28224433442282