Search a number
-
+
232331023525312 = 26471311489395971
BaseRepresentation
bin110100110100110111001000…
…001000001010010111000000
31010110121121222111100001220201
4310310313020020022113000
5220423002414010302222
62142043222044414544
766636235230035215
oct6464671010122700
91113547874301821
10232331023525312
1168034040a171a8
1222083385847454
139c8394c20c25a
144152c4ad1db0c
151bcd6e2e0a427
hexd34dc820a5c0

232331023525312 has 112 divisors (see below), whose sum is σ = 474755095964160. Its totient is φ = 112749954969600.

The previous prime is 232331023525297. The next prime is 232331023525313. The reversal of 232331023525312 is 213525320133232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232331023525313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586539487 + ... + 586935457.

Almost surely, 2232331023525312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232331023525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237377547982080).

232331023525312 is an abundant number, since it is smaller than the sum of its proper divisors (242424072438848).

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

232331023525312 is a wasteful number, since it uses less digits than its factorization.

232331023525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397650 (or 397640 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 232331023525312 its reverse (213525320133232), we get a palindrome (445856343658544).

The spelling of 232331023525312 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, twenty-three million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 131 188 262 376 524 752 1048 1489 1504 2096 2978 3008 4192 5956 6157 8384 11912 12314 23824 24628 47648 49256 69983 95296 98512 139966 195059 197024 279932 390118 394048 395971 559864 780236 791942 1119728 1560472 1583884 2239456 3120944 3167768 4478912 6241888 6335536 9167773 12483776 12671072 18335546 18610637 25342144 36671092 37221274 51872201 73342184 74442548 103744402 146684368 148885096 207488804 293368736 297770192 414977608 586737472 589600819 595540384 829955216 1179201638 1191080768 1659910432 2358403276 2437993447 3319820864 4716806552 4875986894 9433613104 9751973788 18867226208 19503947576 27711238493 37734452416 39007895152 55422476986 77237707289 78015790304 110844953972 154475414578 156031580608 221689907944 308950829156 443379815888 617901658312 886759631776 1235803316624 1773519263552 2471606633248 3630172242583 4943213266496 7260344485166 14520688970332 29041377940664 58082755881328 116165511762656 232331023525312