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206131884 = 223729372287
BaseRepresentation
bin11000100100101…
…01001010101100
3112100212120210020
430102111022230
5410232210014
632242042140
75052043410
oct1422251254
9470776706
10206131884
11a63a0a32
1259049350
133392333a
141d53ad40
151316b1a9
hexc4952ac

206131884 has 96 divisors (see below), whose sum is σ = 584263680. Its totient is φ = 55302912.

The previous prime is 206131873. The next prime is 206131889. The reversal of 206131884 is 488131602.

206131884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206131889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88989 + ... + 91275.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2206131884 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 206131884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292131840).

206131884 is an abundant number, since it is smaller than the sum of its proper divisors (378131796).

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

206131884 is a wasteful number, since it uses less digits than its factorization.

206131884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 206131884 is about 14357.2937561366. The cubic root of 206131884 is about 590.7200669234.

The spelling of 206131884 in words is "two hundred six million, one hundred thirty-one thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 58 74 84 87 111 116 148 174 203 222 259 348 406 444 518 609 777 812 1036 1073 1218 1554 2146 2287 2436 3108 3219 4292 4574 6438 6861 7511 9148 12876 13722 15022 16009 22533 27444 30044 32018 45066 48027 64036 66323 84619 90132 96054 132646 169238 192108 198969 253857 265292 338476 397938 464261 507714 592333 795876 928522 1015428 1184666 1392783 1776999 1857044 2369332 2453951 2785566 3553998 4907902 5571132 7107996 7361853 9815804 14723706 17177657 29447412 34355314 51532971 68710628 103065942 206131884