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201825217 = 112732313
BaseRepresentation
bin11000000011110…
…01101111000001
3112001202210011001
430001321233001
5403131401332
632005452001
75000325466
oct1401715701
9461683131
10201825217
11a3a1a300
1257711001
1332a76009
141cb3966d
1512aba0e7
hexc079bc1

201825217 has 18 divisors (see below), whose sum is σ = 225640086. Its totient is φ = 180385920.

The previous prime is 201825199. The next prime is 201825251. The reversal of 201825217 is 712528102.

It can be written as a sum of positive squares in 3 ways, for example, as 2337841 + 199487376 = 1529^2 + 14124^2 .

It is not a de Polignac number, because 201825217 - 223 = 193436609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201825287) 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 17 ways as a sum of consecutive naturals, for example, 644653 + ... + 644965.

Almost surely, 2201825217 is an apocalyptic number.

It is an amenable number.

201825217 is a deficient number, since it is larger than the sum of its proper divisors (23814869).

201825217 is an equidigital number, since it uses as much as digits as its factorization.

201825217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 201825217 is about 14206.5202284022. The cubic root of 201825217 is about 586.5771521410.

The spelling of 201825217 in words is "two hundred one million, eight hundred twenty-five thousand, two hundred seventeen".

Divisors: 1 11 73 121 313 803 3443 5329 8833 22849 37873 58619 251339 644809 1667977 2764729 18347747 201825217