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205440534 = 2321331127223
BaseRepresentation
bin11000011111011…
…00011000010110
3112022120110102200
430033230120112
5410043044114
632215145330
75043133665
oct1417543026
9468513380
10205440534
11a5a69572
1258975246
1333740760
141d3daddc
1513081409
hexc3ec616

205440534 has 96 divisors (see below), whose sum is σ = 500957184. Its totient is φ = 60419520.

The previous prime is 205440533. The next prime is 205440551. The reversal of 205440534 is 435044502.

205440534 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205440498 and 205440507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205440533) 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, 921147 + ... + 921369.

It is an arithmetic number, because the mean of its divisors is an integer number (5218304).

Almost surely, 2205440534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205440534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250478592).

205440534 is an abundant number, since it is smaller than the sum of its proper divisors (295516650).

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

205440534 is a wasteful number, since it uses less digits than its factorization.

205440534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 205440534 is about 14333.1969218315. The cubic root of 205440534 is about 590.0589177972.

The spelling of 205440534 in words is "two hundred five million, four hundred forty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 127 186 223 234 254 279 381 403 446 558 669 762 806 1143 1209 1338 1651 2007 2286 2418 2899 3302 3627 3937 4014 4953 5798 6913 7254 7874 8697 9906 11811 13826 14859 17394 20739 23622 26091 28321 29718 35433 41478 51181 52182 56642 62217 70866 84963 89869 102362 124434 153543 169926 179738 254889 269607 307086 368173 460629 509778 539214 736346 808821 877951 921258 1104519 1617642 1755902 2209038 2633853 3313557 5267706 6627114 7901559 11413363 15803118 22826726 34240089 68480178 102720267 205440534