Search a number
-
+
2235241403505 = 32511191012353121
BaseRepresentation
bin100000100001101110110…
…001010001010001110001
321220200112211001022202100
4200201232301101101301
5243110233244403010
64430504500411013
7320330236304505
oct40415661212161
97820484038670
102235241403505
11791a62555050
123012559a6a69
13132a22ac9b16
147a28715a305
153d2252b92c0
hex2086ec51471

2235241403505 has 96 divisors (see below), whose sum is σ = 4493145271680. Its totient is φ = 1016547840000.

The previous prime is 2235241403501. The next prime is 2235241403537. The reversal of 2235241403505 is 5053041425322.

2235241403505 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 2 + 4 + 140 + 3 + 505 = 666.

It is not a de Polignac number, because 2235241403505 - 22 = 2235241403501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2235241403505.

It is not an unprimeable number, because it can be changed into a prime (2235241403501) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 226656 + ... + 2126465.

It is an arithmetic number, because the mean of its divisors is an integer number (46803596580).

Almost surely, 22235241403505 is an apocalyptic number.

It is an amenable number.

2235241403505 is an abundant number, since it is smaller than the sum of its proper divisors (2257903868175).

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

2235241403505 is a wasteful number, since it uses less digits than its factorization.

2235241403505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353263 (or 2353260 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2235241403505 its reverse (5053041425322), we get a palindrome (7288282828827).

The spelling of 2235241403505 in words is "two trillion, two hundred thirty-five billion, two hundred forty-one million, four hundred three thousand, five hundred five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 101 165 171 209 285 303 495 505 627 855 909 1045 1111 1515 1881 1919 3135 3333 4545 5555 5757 9405 9595 9999 16665 17271 21109 28785 49995 63327 86355 105545 189981 316635 949905 2353121 7059363 11765605 21178089 25884331 35296815 44709299 77652993 105890445 129421655 134127897 223546495 232958979 237665221 388264965 402383691 491802289 670639485 712995663 1164794895 1188326105 1475406867 2011918455 2138986989 2459011445 2614317431 3564978315 4426220601 4515639199 7377034335 7842952293 10694934945 13071587155 13546917597 22131103005 22578195995 23528856879 39214761465 40640752791 49672031189 67734587985 117644284395 149016093567 203203763955 248360155945 447048280701 745080467835 2235241403505