Search a number
-
+
266022216 = 2332137149181
BaseRepresentation
bin11111101101100…
…10110101001000
3200112120022212200
433312302311020
51021100202331
642221440200
76410102655
oct1766626510
9615508780
10266022216
11127187479
1275110060
13431623c5
142748ac2c
151854b5e6
hexfdb2d48

266022216 has 96 divisors (see below), whose sum is σ = 734643000. Its totient is φ = 86952960.

The previous prime is 266022187. The next prime is 266022217. The reversal of 266022216 is 612220662.

266022216 is a `hidden beast` number, since 26 + 602 + 22 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101002500 + 165019716 = 10050^2 + 12846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 266022216.

It is not an unprimeable number, because it can be changed into a prime (266022217) 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, 1469646 + ... + 1469826.

Almost surely, 2266022216 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 266022216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367321500).

266022216 is an abundant number, since it is smaller than the sum of its proper divisors (468620784).

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

266022216 is a wasteful number, since it uses less digits than its factorization.

266022216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 266022216 is about 16310.1874912583. The cubic root of 266022216 is about 643.1406629193.

Adding to 266022216 its reverse (612220662), we get a palindrome (878242878).

The spelling of 266022216 in words is "two hundred sixty-six million, twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 149 181 274 298 362 411 447 543 548 596 724 822 894 1086 1096 1192 1233 1341 1448 1629 1644 1788 2172 2466 2682 3258 3288 3576 4344 4932 5364 6516 9864 10728 13032 20413 24797 26969 40826 49594 53938 61239 74391 80907 81652 99188 107876 122478 148782 161814 163304 183717 198376 215752 223173 242721 244956 297564 323628 367434 446346 485442 489912 595128 647256 734868 892692 970884 1469736 1785384 1941768 3694753 7389506 11084259 14779012 22168518 29558024 33252777 44337036 66505554 88674072 133011108 266022216