Search a number
-
+
266216256 = 2632462181
BaseRepresentation
bin11111101111000…
…10001101000000
3200112221012001100
433313202031000
51021122410011
642225534400
76411541455
oct1767421500
9615835040
10266216256
111272aa239
12751a4400
13431cc817
14274db82c
1518588d56
hexfde2340

266216256 has 42 divisors (see below), whose sum is σ = 763062482. Its totient is φ = 88738560.

The previous prime is 266216231. The next prime is 266216267. The reversal of 266216256 is 652612662.

266216256 is a `hidden beast` number, since 2 + 6 + 6 + 21 + 625 + 6 = 666.

266216256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 125081856 = 11880^2 + 11184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 266216256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230515 + ... + 231666.

Almost surely, 2266216256 is an apocalyptic number.

It is an amenable number.

266216256 is an abundant number, since it is smaller than the sum of its proper divisors (496846226).

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

266216256 is a wasteful number, since it uses less digits than its factorization.

266216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462199 (or 462186 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 266216256 is about 16316.1348364127. The cubic root of 266216256 is about 643.2969965845.

The spelling of 266216256 in words is "two hundred sixty-six million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 462181 924362 1386543 1848724 2773086 3697448 4159629 5546172 7394896 8319258 11092344 14789792 16638516 22184688 29579584 33277032 44369376 66554064 88738752 133108128 266216256