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239539000225 = 52721729396637
BaseRepresentation
bin1101111100010110100…
…0110001001110100001
3211220021212220000012011
43133011220301032201
512411033441001400
6302013120032521
723206666623100
oct3370550611641
9756255800164
10239539000225
1192651580298
123a511162741
1319785a230b5
14b84536a037
15636e7488ba
hex37c5a313a1

239539000225 has 72 divisors (see below), whose sum is σ = 378464046840. Its totient is φ = 149262059520.

The previous prime is 239539000223. The next prime is 239539000247. The reversal of 239539000225 is 522000935932.

239539000225 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 12 ways, for example, as 2011432801 + 237527567424 = 44849^2 + 487368^2 .

It is not a de Polignac number, because 239539000225 - 21 = 239539000223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (239539000223) 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 71 ways as a sum of consecutive naturals, for example, 405607 + ... + 802243.

It is an arithmetic number, because the mean of its divisors is an integer number (5256445095).

Almost surely, 2239539000225 is an apocalyptic number.

239539000225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

239539000225 is a deficient number, since it is larger than the sum of its proper divisors (138925046615).

239539000225 is a wasteful number, since it uses less digits than its factorization.

239539000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396707 (or 396695 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 239539000225 in words is "two hundred thirty-nine billion, five hundred thirty-nine million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 17 25 29 35 49 85 119 145 175 203 245 425 493 595 725 833 1015 1225 1421 2465 2975 3451 4165 5075 7105 12325 17255 20825 24157 35525 86275 120785 396637 603925 1983185 2776459 6742829 9915925 11502473 13882295 19435213 33714145 47199803 57512365 69411475 80517311 97176065 168570725 195542041 235999015 287561825 330398621 402586555 485880325 563621177 977710205 1179995075 1368794287 1651993105 2012932775 2818105885 4888551025 6843971435 8259965525 9581560009 14090529425 34219857175 47907800045 239539000225