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10086225 = 352181743
BaseRepresentation
bin100110011110…
…011101010001
3200222102200220
4212132131101
510040224400
61000103253
7151505622
oct46363521
920872626
1010086225
115769a26
123464b29
132121ba6
1414a7a49
15d437a0
hex99e751

10086225 has 24 divisors (see below), whose sum is σ = 16790592. Its totient is φ = 5342400.

The previous prime is 10086221. The next prime is 10086233. The reversal of 10086225 is 52268001.

It is not a de Polignac number, because 10086225 - 22 = 10086221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10086195 and 10086204.

It is not an unprimeable number, because it can be changed into a prime (10086221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13204 + ... + 13946.

It is an arithmetic number, because the mean of its divisors is an integer number (699608).

Almost surely, 210086225 is an apocalyptic number.

10086225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10086225 is a deficient number, since it is larger than the sum of its proper divisors (6704367).

10086225 is a wasteful number, since it uses less digits than its factorization.

10086225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10086225 is about 3175.8817673207. The cubic root of 10086225 is about 216.0609181744.

The spelling of 10086225 in words is "ten million, eighty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 181 543 743 905 2229 2715 3715 4525 11145 13575 18575 55725 134483 403449 672415 2017245 3362075 10086225