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206513334 = 23353591223
BaseRepresentation
bin11000100111100…
…10010010110110
3112101120222001000
430103302102312
5410331411314
632254144130
75055222456
oct1423622266
9471528030
10206513334
11a6631585
12591b2046
1333a27b51
141d5d9d66
15131e4209
hexc4f24b6

206513334 has 64 divisors (see below), whose sum is σ = 475891200. Its totient is φ = 66339936.

The previous prime is 206513287. The next prime is 206513341. The reversal of 206513334 is 433315602.

It is a happy number.

206513334 is a `hidden beast` number, since 2 + 0 + 651 + 3 + 3 + 3 + 4 = 666.

206513334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206513298 and 206513307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168247 + ... + 169469.

It is an arithmetic number, because the mean of its divisors is an integer number (7435800).

Almost surely, 2206513334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206513334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

206513334 is an abundant number, since it is smaller than the sum of its proper divisors (269377866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206513334 is a wasteful number, since it uses less digits than its factorization.

206513334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 206513334 is about 14370.5718049074. The cubic root of 206513334 is about 591.0842210362.

Adding to 206513334 its reverse (433315602), we get a palindrome (639828936).

The spelling of 206513334 in words is "two hundred six million, five hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 59 106 118 159 177 318 354 477 531 954 1062 1223 1431 1593 2446 2862 3127 3186 3669 6254 7338 9381 11007 18762 22014 28143 33021 56286 64819 66042 72157 84429 129638 144314 168858 194457 216471 388914 432942 583371 649413 1166742 1298826 1750113 1948239 3500226 3824321 3896478 7648642 11472963 22945926 34418889 68837778 103256667 206513334