Search a number
-
+
220305430035104 = 2523305579795727
BaseRepresentation
bin110010000101110111011010…
…111001100011101010100000
31001220000222211012120221210112
4302011313122321203222200
5212333441010042110404
62100314530053150452
764255353633654161
oct6205673271435240
91056028735527715
10220305430035104
116421800a9a43a7
122086080292b428
1395c093635962b
143c58ba8227768
151a709b318356e
hexc85ddae63aa0

220305430035104 has 48 divisors (see below), whose sum is σ = 452598838610688. Its totient is φ = 105360007686912.

The previous prime is 220305430035079. The next prime is 220305430035121. The reversal of 220305430035104 is 401530034503022.

220305430035104 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17592089 + ... + 27387815.

It is an arithmetic number, because the mean of its divisors is an integer number (9429142471056).

Almost surely, 2220305430035104 is an apocalyptic number.

It is an amenable number.

220305430035104 is an abundant number, since it is smaller than the sum of its proper divisors (232293408575584).

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

220305430035104 is a wasteful number, since it uses less digits than its factorization.

220305430035104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826317 (or 9826309 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 220305430035104 its reverse (401530034503022), we get a palindrome (621835464538126).

The spelling of 220305430035104 in words is "two hundred twenty trillion, three hundred five billion, four hundred thirty million, thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 30557 61114 122228 244456 488912 702811 977824 1405622 2811244 5622488 9795727 11244976 19591454 22489952 39182908 78365816 156731632 225301721 313463264 450603442 901206884 1802413768 3604827536 7209655072 299328029939 598656059878 1197312119756 2394624239512 4789248479024 6884544688597 9578496958048 13769089377194 27538178754388 55076357508776 110152715017552 220305430035104