Search a number
-
+
235324343423532 = 223112315228035711
BaseRepresentation
bin110101100000011010110111…
…111001011001001000101100
31010212012210021002211000102210
4311200122313321121020230
5221321023223404023112
62152254302210250420
7100365423414256026
oct6540326771311054
91125183232730383
10235324343423532
1168a88547a73600
1222487526586a10
13a13ccb4aaccbc
144217a8a96d016
151c314d5e74b3c
hexd606b7e5922c

235324343423532 has 72 divisors (see below), whose sum is σ = 623014559727616. Its totient is φ = 69010071372000.

The previous prime is 235324343423531. The next prime is 235324343423557.

235324343423532 is nontrivially palindromic in base 10.

235324343423532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (235324343423531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2613972844 + ... + 2614062867.

Almost surely, 2235324343423532 is an apocalyptic number.

235324343423532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

235324343423532 is an abundant number, since it is smaller than the sum of its proper divisors (387690216304084).

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

235324343423532 is a wasteful number, since it uses less digits than its factorization.

235324343423532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228035771 (or 5228035758 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 48.

The spelling of 235324343423532 in words is "two hundred thirty-five trillion, three hundred twenty-four billion, three hundred forty-three million, four hundred twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 7502 11253 15004 22506 45012 5228035711 10456071422 15684107133 20912142844 31368214266 57508392821 62736428532 115016785642 162069107041 172525178463 230033571284 324138214082 345050356926 486207321123 632592321031 648276428164 690100713852 972414642246 1265184642062 1782760177451 1897776963093 1944829284492 2530369284124 3565520354902 3795553926186 5348280532353 7131040709804 7591107852372 10696561064706 19610361951961 21393122129412 39220723903922 58831085855883 78441447807844 117662171711766 235324343423532