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232323133032 = 233223140291747
BaseRepresentation
bin1101100001011110001…
…0011010111001101000
3211012122222221222021200
43120113202122321220
512301244210224112
6254421111004200
722533120022314
oct3302742327150
9735588858250
10232323133032
118a589396491
1239038669660
1318ba5a988b3
14b35cc9ab44
15609aeddcdc
hex361789ae68

232323133032 has 48 divisors (see below), whose sum is σ = 656565380640. Its totient is φ = 74074041888.

The previous prime is 232323132997. The next prime is 232323133043. The reversal of 232323133032 is 230331323232.

232323133032 is a `hidden beast` number, since 2 + 3 + 2 + 323 + 1 + 330 + 3 + 2 = 666.

232323133032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232323132987 and 232323133005.

It is an unprimeable number.

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, 70144218 + ... + 70147529.

It is an arithmetic number, because the mean of its divisors is an integer number (13678445430).

Almost surely, 2232323133032 is an apocalyptic number.

It is an amenable number.

232323133032 is an abundant number, since it is smaller than the sum of its proper divisors (424242247608).

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

232323133032 is a wasteful number, since it uses less digits than its factorization.

232323133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140291782 (or 140291775 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 232323133032 its reverse (230331323232), we get a palindrome (462654456264).

The spelling of 232323133032 in words is "two hundred thirty-two billion, three hundred twenty-three million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 140291747 280583494 420875241 561166988 841750482 1122333976 1262625723 1683500964 2525251446 3226710181 3367001928 5050502892 6453420362 9680130543 10101005784 12906840724 19360261086 25813681448 29040391629 38720522172 58080783258 77441044344 116161566516 232323133032