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3205404342225 = 3252373100937853
BaseRepresentation
bin101110101001010000111…
…111001011011111010001
3102100102201010202222202200
4232221100333023133101
5410004132002422400
610452313055233413
7450403623233631
oct56512077133721
912312633688680
103205404342225
11102644a206208
1243928b518869
131a33646ac7c7
14b11dca506c1
15585a738eb00
hex2ea50fcb7d1

3205404342225 has 72 divisors (see below), whose sum is σ = 5762484893880. Its totient is φ = 1703230986240.

The previous prime is 3205404342223. The next prime is 3205404342241. The reversal of 3205404342225 is 5222434045023.

3205404342225 is a `hidden beast` number, since 3 + 20 + 5 + 404 + 3 + 4 + 2 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2186695647504 + 1018708694721 = 1478748^2 + 1009311^2 .

It is not a de Polignac number, because 3205404342225 - 21 = 3205404342223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3205404342225.

It is not an unprimeable number, because it can be changed into a prime (3205404342223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84661399 + ... + 84699251.

It is an arithmetic number, because the mean of its divisors is an integer number (80034512415).

Almost surely, 23205404342225 is an apocalyptic number.

It is an amenable number.

3205404342225 is a deficient number, since it is larger than the sum of its proper divisors (2557080551655).

3205404342225 is a wasteful number, since it uses less digits than its factorization.

3205404342225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39251 (or 39243 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 3205404342225 its reverse (5222434045023), we get a palindrome (8427838387248).

The spelling of 3205404342225 in words is "three trillion, two hundred five billion, four hundred four million, three hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 373 1009 1119 1865 3027 3357 5045 5595 9081 9325 15135 16785 25225 27975 37853 45405 75675 83925 113559 189265 227025 340677 376357 567795 946325 1129071 1703385 1881785 2838975 3387213 5645355 8516925 9408925 14119169 16936065 28226775 38193677 42357507 70595845 84680325 114581031 127072521 190968385 211787535 343743093 352979225 572905155 635362605 954841925 1058937675 1718715465 2864525775 3176813025 8593577325 14246241521 42738724563 71231207605 128216173689 213693622815 356156038025 641080868445 1068468114075 3205404342225