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3000116225 = 52172617673
BaseRepresentation
bin1011001011010010…
…0010010000000001
321202002020200202202
42302310202100001
522121012204400
61213410522545
7134226365351
oct26264422001
97662220682
103000116225
1112aa53a7a7
126b8896455
1338a725402
14206636b61
151285b84d5
hexb2d22401

3000116225 has 36 divisors (see below), whose sum is σ = 3964135044. Its totient is φ = 2251898880.

The previous prime is 3000116153. The next prime is 3000116227. The reversal of 3000116225 is 5226110003.

It can be written as a sum of positive squares in 18 ways, for example, as 2197640641 + 802475584 = 46879^2 + 28328^2 .

It is not a de Polignac number, because 3000116225 - 210 = 3000115201 is a prime.

It is a Duffinian number.

3000116225 is a modest number, since divided by 116225 gives 300 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3000116197 and 3000116206.

It is not an unprimeable number, because it can be changed into a prime (3000116227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4457489 + ... + 4458161.

Almost surely, 23000116225 is an apocalyptic number.

It is an amenable number.

3000116225 is a deficient number, since it is larger than the sum of its proper divisors (964018819).

3000116225 is a wasteful number, since it uses less digits than its factorization.

3000116225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3000116225 is about 54773.3167244782. The cubic root of 3000116225 is about 1442.2681951176.

Adding to 3000116225 its reverse (5226110003), we get a palindrome (8226226228).

The spelling of 3000116225 in words is "three billion, one hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 617 673 1445 3085 3365 7225 10489 11441 15425 16825 52445 57205 178313 194497 262225 286025 415241 891565 972485 2076205 4457825 4862425 7059097 10381025 35295485 120004649 176477425 600023245 3000116225