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205034466 = 237132329563
BaseRepresentation
bin11000011100010…
…01001111100010
3112021210211102010
430032021033202
5404442100331
632202333350
75036523060
oct1416111742
9467724363
10205034466
11a581147a
12587ba256
133362a990
141d333030
1513000e46
hexc3893e2

205034466 has 128 divisors (see below), whose sum is σ = 545771520. Its totient is φ = 49851648.

The previous prime is 205034441. The next prime is 205034471. The reversal of 205034466 is 664430502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363901 + ... + 364463.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2205034466 is an apocalyptic number.

205034466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205034466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272885760).

205034466 is an abundant number, since it is smaller than the sum of its proper divisors (340737054).

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

205034466 is a wasteful number, since it uses less digits than its factorization.

205034466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 205034466 is about 14319.0246176197. The cubic root of 205034466 is about 589.6698967369.

Adding to 205034466 its reverse (664430502), we get a palindrome (869464968).

The spelling of 205034466 in words is "two hundred five million, thirty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 29 39 42 46 58 69 78 87 91 138 161 174 182 203 273 299 322 377 406 483 546 563 598 609 667 754 897 966 1126 1131 1218 1334 1689 1794 2001 2093 2262 2639 3378 3941 4002 4186 4669 5278 6279 7319 7882 7917 8671 9338 11823 12558 12949 14007 14638 15834 16327 17342 21957 23646 25898 26013 28014 32654 38847 43914 48981 51233 52026 60697 77694 90643 97962 102466 114289 121394 153699 168337 181286 182091 212251 228578 271929 307398 336674 342867 364182 375521 424502 505011 543858 636753 685734 751042 1010022 1126563 1178359 1273506 1485757 2253126 2356718 2628647 2971514 3535077 4457271 4881773 5257294 7070154 7885941 8914542 9763546 14645319 15771882 29290638 34172411 68344822 102517233 205034466