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206400025 = 52133132029
BaseRepresentation
bin11000100110101…
…10101000011001
3112101101012121101
430103112220121
5410314300100
632251511401
75054241226
oct1423265031
9471335541
10206400025
11a6564437
1259158561
13339b83c0
141d5aa94d
15131c086a
hexc4d6a19

206400025 has 24 divisors (see below), whose sum is σ = 276640280. Its totient is φ = 151856640.

The previous prime is 206400017. The next prime is 206400071. The reversal of 206400025 is 520004602.

It can be written as a sum of positive squares in 12 ways, for example, as 92679129 + 113720896 = 9627^2 + 10664^2 .

It is not a de Polignac number, because 206400025 - 23 = 206400017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206399975 and 206400011.

It is an unprimeable number.

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, 100711 + ... + 102739.

Almost surely, 2206400025 is an apocalyptic number.

206400025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206400025 is a deficient number, since it is larger than the sum of its proper divisors (70240255).

206400025 is a wasteful number, since it uses less digits than its factorization.

206400025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 206400025 is about 14366.6288669263. The cubic root of 206400025 is about 590.9760965975.

Adding to 206400025 its reverse (520004602), we get a palindrome (726404627).

The spelling of 206400025 in words is "two hundred six million, four hundred thousand, twenty-five".

Divisors: 1 5 13 25 65 313 325 1565 2029 4069 7825 10145 20345 26377 50725 101725 131885 635077 659425 3175385 8256001 15876925 41280005 206400025