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232231132233 = 322917934914243
BaseRepresentation
bin1101100001001000001…
…1011101110001001001
3211012102120211211220200
43120102003131301021
512301102132212413
6254404023042413
722530622024362
oct3302203356111
9735376754820
10232231132233
118a541468971
12390118a0409
1318b8c9c6059
14b35098cb69
156092db9573
hex36120ddc49

232231132233 has 48 divisors (see below), whose sum is σ = 349975080000. Its totient is φ = 148210683264.

The previous prime is 232231132213. The next prime is 232231132277. The reversal of 232231132233 is 332231132232.

232231132233 is a `hidden beast` number, since 2 + 3 + 22 + 311 + 322 + 3 + 3 = 666.

It is not a de Polignac number, because 232231132233 - 214 = 232231115849 is a prime.

It is a super-2 number, since 2×2322311322332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232231132197 and 232231132206.

It is not an unprimeable number, because it can be changed into a prime (232231132213) 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 47 ways as a sum of consecutive naturals, for example, 16297810 + ... + 16312052.

It is an arithmetic number, because the mean of its divisors is an integer number (7291147500).

Almost surely, 2232231132233 is an apocalyptic number.

It is an amenable number.

232231132233 is a deficient number, since it is larger than the sum of its proper divisors (117743947767).

232231132233 is a wasteful number, since it uses less digits than its factorization.

232231132233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14803 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 232231132233 its reverse (332231132232), we get a palindrome (564462264465).

Subtracting 232231132233 from its reverse (332231132232), we obtain a palindrome (99999999999).

The spelling of 232231132233 in words is "two hundred thirty-two billion, two hundred thirty-one million, one hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 29 87 179 261 349 537 1047 1611 3141 5191 10121 14243 15573 30363 42729 46719 62471 91089 128187 187413 413047 562239 1239141 1811659 2549497 3717423 4970807 5434977 7648491 14912421 16304931 22945473 44737263 73935413 144153403 221806239 432460209 665418717 889774453 1297380627 2669323359 8007970077 25803459137 77410377411 232231132233