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232042240233 = 3237616855217
BaseRepresentation
bin1101100000011011001…
…0111001100011101001
3211011221102102010210200
43120012302321203221
512300210303141413
6254333154302413
722523136333006
oct3300662714351
9734842363720
10232042240233
118a454882581
1238b7a587a09
1318b5c82aa3b
14b33385c8ad
156081506573
hex3606cb98e9

232042240233 has 12 divisors (see below), whose sum is σ = 335261291508. Its totient is φ = 154653672960.

The previous prime is 232042240207. The next prime is 232042240237. The reversal of 232042240233 is 332042240232.

It is a happy number.

232042240233 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 422 + 4 + 0 + 233 = 666.

232042240233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59229930384 + 172812309849 = 243372^2 + 415707^2 .

It is not a de Polignac number, because 232042240233 - 25 = 232042240201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232042240197 and 232042240206.

It is not an unprimeable number, because it can be changed into a prime (232042240237) 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 11 ways as a sum of consecutive naturals, for example, 3393760 + ... + 3461457.

It is an arithmetic number, because the mean of its divisors is an integer number (27938440959).

Almost surely, 2232042240233 is an apocalyptic number.

It is an amenable number.

232042240233 is a deficient number, since it is larger than the sum of its proper divisors (103219051275).

232042240233 is a wasteful number, since it uses less digits than its factorization.

232042240233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858984 (or 6858981 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 232042240233 its reverse (332042240232), we get a palindrome (564084480465).

Subtracting 232042240233 from its reverse (332042240232), we obtain a palindrome (99999999999).

The spelling of 232042240233 in words is "two hundred thirty-two billion, forty-two million, two hundred forty thousand, two hundred thirty-three".

Divisors: 1 3 9 3761 11283 33849 6855217 20565651 61696953 25782471137 77347413411 232042240233