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206023221 = 32172959787
BaseRepresentation
bin11000100011110…
…10101000110101
3112100200001201200
430101322220311
5410220220341
632235443113
75051111535
oct1421725065
9470601650
10206023221
11a6327328
1258bb6499
13338b5a41
141d50d4c5
1513148db6
hexc47aa35

206023221 has 48 divisors (see below), whose sum is σ = 331905600. Its totient is φ = 122540544.

The previous prime is 206023211. The next prime is 206023229. The reversal of 206023221 is 122320602.

206023221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 206023221 - 211 = 206021173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206023194 and 206023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206023229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261390 + ... + 262176.

It is an arithmetic number, because the mean of its divisors is an integer number (6914700).

Almost surely, 2206023221 is an apocalyptic number.

It is an amenable number.

206023221 is a deficient number, since it is larger than the sum of its proper divisors (125882379).

206023221 is a wasteful number, since it uses less digits than its factorization.

206023221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206023221 is about 14353.5090134782. The cubic root of 206023221 is about 590.6162487659.

Adding to 206023221 its reverse (122320602), we get a palindrome (328343823).

It can be divided in two parts, 2060 and 23221, that added together give a square (25281 = 1592).

The spelling of 206023221 in words is "two hundred six million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 17 29 51 59 87 153 177 261 493 531 787 1003 1479 1711 2361 3009 4437 5133 7083 9027 13379 15399 22823 29087 40137 46433 68469 87261 120411 139299 205407 261783 387991 417897 789361 1163973 1346557 2368083 3491919 4039671 7104249 12119013 22891469 68674407 206023221