Search a number
-
+
220243032122415 = 351393173474212281
BaseRepresentation
bin110010000100111101010011…
…101100011010010000101111
31001212211000202120220120020020
4302010331103230122100233
5212331430212210404130
62100230130245253223
764251014436315321
oct6204752354322057
91055730676816206
10220243032122415
11641a35aaa00015
12208506a9a04213
1395b7aa0b948c3
143c55b690d9611
151a6e06016ce10
hexc84f53b1a42f

220243032122415 has 128 divisors (see below), whose sum is σ = 358074778844160. Its totient is φ = 115588969574400.

The previous prime is 220243032122387. The next prime is 220243032122431. The reversal of 220243032122415 is 514221230342022.

220243032122415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220243032122415 - 28 = 220243032122159 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96555471075 + ... + 96555473355.

It is an arithmetic number, because the mean of its divisors is an integer number (2797459209720).

Almost surely, 2220243032122415 is an apocalyptic number.

220243032122415 is a deficient number, since it is larger than the sum of its proper divisors (137831746721745).

220243032122415 is a wasteful number, since it uses less digits than its factorization.

220243032122415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 220243032122415 its reverse (514221230342022), we get a palindrome (734464262464437).

The spelling of 220243032122415 in words is "two hundred twenty trillion, two hundred forty-three billion, thirty-two million, one hundred twenty-two thousand, four hundred fifteen".

Divisors: 1 3 5 15 139 317 347 417 421 695 951 1041 1263 1585 1735 2085 2105 2281 4755 5205 6315 6843 11405 34215 44063 48233 58519 109999 132189 133457 144699 146087 175557 220315 241165 292595 317059 329997 400371 438261 549995 660945 667285 723077 723495 730435 791507 877785 951177 960301 1585295 1649985 2001855 2169231 2191305 2374521 2880903 3615385 3957535 4755885 4801505 10846155 11872605 14404515 15289861 18550523 20306093 45869583 46309579 55651569 60918279 76449305 92752615 100507703 101530465 110019473 133481839 138928737 229347915 231547895 250907719 278257845 301523109 304415417 304591395 330058419 333224447 400445517 502538515 550097365 667409195 694643685 752723157 913246251 999673341 1254538595 1507615545 1522077085 1650292095 1666122235 2002227585 3763615785 4566231255 4998366705 6437031481 19311094443 32185157405 34876172941 42313742963 46318198133 96555472215 104628518823 105632149699 126941228889 138954594399 174380864705 211568714815 231590990665 316896449097 523142594115 528160748495 634706144445 694772971995 1584482245485 14682868808161 44048606424483 73414344040805 220243032122415