Search a number
-
+
232522032500433 = 321319743123406407
BaseRepresentation
bin110100110111101001000001…
…001001100100111011010001
31010111021220000020102100221200
4310313221001021210323101
5220434120110310003213
62142311051433541413
766656106504401544
oct6467510111447321
91114256006370850
10232522032500433
11680a8049567325
12220b43b2274869
139c9896c8a1360
14415c1aac8485b
151bd3671d77273
hexd37a41264ed1

232522032500433 has 48 divisors (see below), whose sum is σ = 364380473673216. Its totient is φ = 142033816632960.

The previous prime is 232522032500413. The next prime is 232522032500473. The reversal of 232522032500433 is 334005230225232.

232522032500433 is a `hidden beast` number, since 2 + 32 + 52 + 2 + 0 + 32 + 500 + 43 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-232522032500433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232522032500413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1769085 + ... + 21637322.

It is an arithmetic number, because the mean of its divisors is an integer number (7591259868192).

Almost surely, 2232522032500433 is an apocalyptic number.

It is an amenable number.

232522032500433 is a deficient number, since it is larger than the sum of its proper divisors (131858441172783).

232522032500433 is a wasteful number, since it uses less digits than its factorization.

232522032500433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407054 (or 23407051 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 232522032500433 its reverse (334005230225232), we get a palindrome (566527262725665).

The spelling of 232522032500433 in words is "two hundred thirty-two trillion, five hundred twenty-two billion, thirty-two million, five hundred thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 197 431 591 1293 1773 2561 3879 5603 7683 16809 23049 50427 84907 254721 764163 1103791 3311373 9934119 23406407 70219221 210657663 304283291 912849873 2738549619 4611062179 10088161417 13833186537 30264484251 41499559611 59943808327 90793452753 131146098421 179831424981 393438295263 539494274943 1180314885789 1987367799149 5962103397447 17886310192341 25835781388937 77507344166811 232522032500433