Search a number
-
+
232345543232 = 26111721192009
BaseRepresentation
bin1101100001100011011…
…1111010001001000000
3211012201120010112022002
43120120313322021000
512301320424340412
6254423231203132
722533511350215
oct3303067721100
9735646115262
10232345543232
118a5a0002610
12390440764a8
1318baa61407a
14b361c51b0c
15609ce68dc2
hex3618dfa240

232345543232 has 112 divisors (see below), whose sum is σ = 535091883840. Its totient is φ = 98927001600.

The previous prime is 232345543201. The next prime is 232345543237.

232345543232 is nontrivially palindromic in base 10.

232345543232 is digitally balanced in base 3, 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 (232345543237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479244 + ... + 2571252.

Almost surely, 2232345543232 is an apocalyptic number.

232345543232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232345543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267545941920).

232345543232 is an abundant number, since it is smaller than the sum of its proper divisors (302746340608).

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

232345543232 is a wasteful number, since it uses less digits than its factorization.

232345543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92260 (or 92250 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 232345 and 543232, that added together give a palindrome (775577).

The spelling of 232345543232 in words is "two hundred thirty-two billion, three hundred forty-five million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 211 272 352 374 422 544 704 748 844 1088 1496 1688 2321 2992 3376 3587 4642 5984 6752 7174 9284 11968 13504 14348 18568 28696 37136 39457 57392 74272 78914 92009 114784 148544 157828 184018 229568 315656 368036 631312 736072 1012099 1262624 1472144 1564153 2024198 2525248 2944288 3128306 4048396 5888576 6256612 8096792 12513224 16193584 17205683 19413899 25026448 32387168 34411366 38827798 50052896 64774336 68822732 77655596 100105792 137645464 155311192 213552889 275290928 310622384 330036283 427105778 550581856 621244768 660072566 854211556 1101163712 1242489536 1320145132 1708423112 2640290264 3416846224 3630399113 5280580528 6833692448 7260798226 10561161056 13667384896 14521596452 21122322112 29043192904 58086385808 116172771616 232345543232