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10017225 = 32522112
BaseRepresentation
bin100110001101…
…100111001001
3200211221001100
4212031213021
510031022400
6554412013
7151100511
oct46154711
920757040
1010017225
1157220a9
123431009
1320c966a
14148a841
15d2d100
hex98d9c9

10017225 has 27 divisors (see below), whose sum is σ = 18027399. Its totient is φ = 5317200.

The previous prime is 10017223. The next prime is 10017229. The reversal of 10017225 is 52271001.

The square root of 10017225 is 3165.

It is a perfect power (a square), and thus also a powerful number.

10017225 is nontrivially palindromic in base 14.

10017225 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 only one way, i.e., 3606201 + 6411024 = 1899^2 + 2532^2 .

It is not a de Polignac number, because 10017225 - 21 = 10017223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10017198 and 10017207.

It is not an unprimeable number, because it can be changed into a prime (10017223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47370 + ... + 47580.

Almost surely, 210017225 is an apocalyptic number.

10017225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10017225 is the 3165-th square number.

10017225 is the 1583-rd centered octagonal number.

It is an amenable number.

10017225 is a deficient number, since it is larger than the sum of its proper divisors (8010174).

10017225 is an equidigital number, since it uses as much as digits as its factorization.

10017225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The cubic root of 10017225 is about 215.5670985048.

Adding to 10017225 its reverse (52271001), we get a palindrome (62288226).

The spelling of 10017225 in words is "ten million, seventeen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 211 225 633 1055 1899 3165 5275 9495 15825 44521 47475 133563 222605 400689 667815 1113025 2003445 3339075 10017225