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232900002329 = 1721375882353
BaseRepresentation
bin1101100011100111101…
…1000000001000011001
3211021011012102222012012
43120321323000020121
512303434400033304
6254554235155305
722553323233101
oct3307173001031
9737135388165
10232900002329
118a854a85975
12391798a5b35
1318c68456087
14b3b5742201
1560d198d16e
hex3639ec0219

232900002329 has 12 divisors (see below), whose sum is σ = 249211809564. Its totient is φ = 217599965184.

The previous prime is 232900002323. The next prime is 232900002347. The reversal of 232900002329 is 923200009232.

It can be written as a sum of positive squares in 6 ways, for example, as 51042105625 + 181857896704 = 225925^2 + 426448^2 .

It is not a de Polignac number, because 232900002329 - 216 = 232899936793 is a prime.

It is a super-2 number, since 2×2329000023292 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232900002295 and 232900002304.

It is not an unprimeable number, because it can be changed into a prime (232900002323) 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 11 ways as a sum of consecutive naturals, for example, 2901584 + ... + 2980769.

It is an arithmetic number, because the mean of its divisors is an integer number (20767650797).

Almost surely, 2232900002329 is an apocalyptic number.

It is an amenable number.

232900002329 is a deficient number, since it is larger than the sum of its proper divisors (16311807235).

232900002329 is a wasteful number, since it uses less digits than its factorization.

232900002329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882524 (or 5882507 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 23290000 and 2329, that multiplied together give a square (54242410000 = 2329002).

The spelling of 232900002329 in words is "two hundred thirty-two billion, nine hundred million, two thousand, three hundred twenty-nine".

Divisors: 1 17 137 289 2329 39593 5882353 100000001 805882361 1700000017 13700000137 232900002329