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206434825 = 5217485729
BaseRepresentation
bin11000100110111…
…11001000001001
3112101102222100021
430103133020021
5410321403300
632252340441
75054444542
oct1423371011
9471388307
10206434825
11a65885a3
1259174721
13339cb1ac
141d5b94c9
15131cad1a
hexc4df209

206434825 has 12 divisors (see below), whose sum is σ = 271037340. Its totient is φ = 155432960.

The previous prime is 206434819. The next prime is 206434831. The reversal of 206434825 is 528434602.

It is an interprime number because it is at equal distance from previous prime (206434819) and next prime (206434831).

It can be written as a sum of positive squares in 6 ways, for example, as 20903184 + 185531641 = 4572^2 + 13621^2 .

It is not a de Polignac number, because 206434825 - 215 = 206402057 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 242440 + ... + 243289.

It is an arithmetic number, because the mean of its divisors is an integer number (22586445).

Almost surely, 2206434825 is an apocalyptic number.

206434825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206434825 is a deficient number, since it is larger than the sum of its proper divisors (64602515).

206434825 is a wasteful number, since it uses less digits than its factorization.

206434825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485756 (or 485751 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 206434825 is about 14367.8399559572. The cubic root of 206434825 is about 591.0093084998.

The spelling of 206434825 in words is "two hundred six million, four hundred thirty-four thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 425 485729 2428645 8257393 12143225 41286965 206434825