Search a number
-
+
220432322323239 = 31373797229742293
BaseRepresentation
bin110010000111101101100110…
…010001001110001100100111
31001220111010100112211002011220
4302013231212101032030213
5212343030344003320424
62100453113315231423
764300465303424115
oct6207554621161447
91056433315732156
10220432322323239
1164266906324614
12208813168a8573
1395cc8a9435bb0
143c60da4a8cab5
151a73e3d278579
hexc87b6644e327

220432322323239 has 64 divisors (see below), whose sum is σ = 321404108022144. Its totient is φ = 133563229986816.

The previous prime is 220432322323237. The next prime is 220432322323337. The reversal of 220432322323239 is 932323223234022.

220432322323239 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220432322323239 - 21 = 220432322323237 is a prime.

It is a super-2 number, since 2×2204323223232392 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220432322323239.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220432322323237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5212007377 + ... + 5212049669.

It is an arithmetic number, because the mean of its divisors is an integer number (5021939187846).

Almost surely, 2220432322323239 is an apocalyptic number.

220432322323239 is a deficient number, since it is larger than the sum of its proper divisors (100971785698905).

220432322323239 is a wasteful number, since it uses less digits than its factorization.

220432322323239 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45476.

The product of its (nonzero) digits is 1119744, while the sum is 42.

The spelling of 220432322323239 in words is "two hundred twenty trillion, four hundred thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, two hundred thirty-nine".

Divisors: 1 3 13 39 73 219 797 949 2297 2391 2847 6891 10361 29861 31083 42293 58181 89583 126879 167681 174543 503043 549809 756353 1649427 1830709 2179853 2269059 3087389 5492127 6539559 9262167 23799217 33707521 40136057 71397651 97147021 101122563 120408171 133641757 291441063 400925271 438197773 1262911273 1314593319 1737342841 2460649033 3788733819 5212028523 7091732533 7381947099 21275197599 31988437429 77426175737 92192522929 95965312287 232278527211 276577568787 1006540284581 3019620853743 5652110828801 16956332486403 73477440774413 220432322323239