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206531864 = 237211211227
BaseRepresentation
bin11000100111101…
…10110100011000
3112101121220110022
430103312310120
5410333004424
632254410012
75055330500
oct1423666430
9471556408
10206531864
11a66444a0
1259200908
1333a33406
141d602a00
15131e995e
hexc4f6d18

206531864 has 96 divisors (see below), whose sum is σ = 495927360. Its totient is φ = 79732800.

The previous prime is 206531863. The next prime is 206531879. The reversal of 206531864 is 468135602.

206531864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206531863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909719 + ... + 909945.

It is an arithmetic number, because the mean of its divisors is an integer number (5165910).

Almost surely, 2206531864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206531864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247963680).

206531864 is an abundant number, since it is smaller than the sum of its proper divisors (289395496).

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

206531864 is a wasteful number, since it uses less digits than its factorization.

206531864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 206531864 is about 14371.2165107899. The cubic root of 206531864 is about 591.1018994153.

The spelling of 206531864 in words is "two hundred six million, five hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 211 227 308 392 422 454 539 616 844 908 1078 1477 1589 1688 1816 2156 2321 2497 2954 3178 4312 4642 4994 5908 6356 9284 9988 10339 11123 11816 12712 16247 17479 18568 19976 20678 22246 32494 34958 41356 44492 47897 64988 69916 82712 88984 95794 113729 122353 129976 139832 191588 227458 244706 335279 383176 454916 489412 526867 670558 909832 978824 1053734 1341116 2107468 2346953 2682232 3688069 4214936 4693906 7376138 9387812 14752276 18775624 25816483 29504552 51632966 103265932 206531864