Search a number
-
+
225766522331 = 741976974607
BaseRepresentation
bin1101001001000010111…
…0111011110111011011
3210120202001112122021022
43102100232323313123
512144332212203311
6251414332033055
722211463530240
oct3222056736733
9716661478238
10225766522331
1187824352859
123790890278b
131839c5b66ac
14acda19b5c7
155d155a95db
hex3490bbbddb

225766522331 has 8 divisors (see below), whose sum is σ = 258634682880. Its totient is φ = 193052311848.

The previous prime is 225766522313. The next prime is 225766522343. The reversal of 225766522331 is 133225667522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225766522331 - 214 = 225766505947 is a prime.

It is a super-3 number, since 3×2257665223313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (225766522361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38484371 + ... + 38490236.

It is an arithmetic number, because the mean of its divisors is an integer number (32329335360).

Almost surely, 2225766522331 is an apocalyptic number.

225766522331 is a deficient number, since it is larger than the sum of its proper divisors (32868160549).

225766522331 is an equidigital number, since it uses as much as digits as its factorization.

225766522331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76975033.

The product of its digits is 907200, while the sum is 44.

The spelling of 225766522331 in words is "two hundred twenty-five billion, seven hundred sixty-six million, five hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 419 2933 76974607 538822249 32252360333 225766522331