Search a number
-
+
233000123232 = 2532983692573
BaseRepresentation
bin1101100011111111100…
…0111011101101100000
3211021102011211122020210
43120333320323231200
512304141012420412
6255012213134120
722555650240552
oct3307770735540
9737364748223
10233000123232
118a8a654a218
12391a732a340
1318c8310c906
14b3c4b654d2
1560da66883c
hex363fe3bb60

233000123232 has 48 divisors (see below), whose sum is σ = 632715859440. Its totient is φ = 74988544512.

The previous prime is 233000123219. The next prime is 233000123233. The reversal of 233000123232 is 232321000332.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2330001232322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233000123199 and 233000123208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233000123233) 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 7 ways as a sum of consecutive naturals, for example, 41843503 + ... + 41849070.

It is an arithmetic number, because the mean of its divisors is an integer number (13181580405).

Almost surely, 2233000123232 is an apocalyptic number.

It is an amenable number.

233000123232 is an abundant number, since it is smaller than the sum of its proper divisors (399715736208).

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

233000123232 is a wasteful number, since it uses less digits than its factorization.

233000123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83692615 (or 83692607 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233000123232 its reverse (232321000332), we get a palindrome (465321123564).

The spelling of 233000123232 in words is "two hundred thirty-three billion, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 83692573 167385146 251077719 334770292 502155438 669540584 1004310876 1339081168 2008621752 2427084617 2678162336 4017243504 4854169234 7281253851 8034487008 9708338468 14562507702 19416676936 29125015404 38833353872 58250030808 77666707744 116500061616 233000123232