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206066601 = 32132612221
BaseRepresentation
bin11000100100001…
…01001110101001
3112100202021020100
430102011032221
5410223112401
632240420013
75051352156
oct1422051651
9470667210
10206066601
11a6356984
1259017609
13338cc700
141d52122d
1513156b86
hexc4853a9

206066601 has 36 divisors (see below), whose sum is σ = 327740556. Its totient is φ = 124675200.

The previous prime is 206066599. The next prime is 206066603. The reversal of 206066601 is 106660602.

It is an interprime number because it is at equal distance from previous prime (206066599) and next prime (206066603).

It can be written as a sum of positive squares in 6 ways, for example, as 65999376 + 140067225 = 8124^2 + 11835^2 .

It is not a de Polignac number, because 206066601 - 21 = 206066599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206066603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91671 + ... + 93891.

Almost surely, 2206066601 is an apocalyptic number.

It is an amenable number.

206066601 is a deficient number, since it is larger than the sum of its proper divisors (121673955).

206066601 is a wasteful number, since it uses less digits than its factorization.

206066601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206066601 is about 14355.0200626819. The cubic root of 206066601 is about 590.6576990043.

The spelling of 206066601 in words is "two hundred six million, sixty-six thousand, six hundred one".

Divisors: 1 3 9 13 39 61 117 169 183 507 549 793 1521 2221 2379 6663 7137 10309 19989 28873 30927 86619 92781 135481 259857 375349 406443 1126047 1219329 1761253 3378141 5283759 15851277 22896289 68688867 206066601