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225042240522 = 231131346723327
BaseRepresentation
bin1101000110010110010…
…0000001010000001010
3210111212120200022102010
43101211210001100022
512141341303144042
6251214420120350
722154520324411
oct3214544012012
9714776608363
10225042240522
1187492529150
12377462360b6
13182b5524c88
14ac6bd02478
155cc1bdc59c
hex346590140a

225042240522 has 64 divisors (see below), whose sum is σ = 493645860864. Its totient is φ = 67828275840.

The previous prime is 225042240487. The next prime is 225042240541.

225042240522 is nontrivially palindromic in base 10.

225042240522 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225042240522.

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 31 ways as a sum of consecutive naturals, for example, 9635623 + ... + 9658949.

It is an arithmetic number, because the mean of its divisors is an integer number (7713216576).

Almost surely, 2225042240522 is an apocalyptic number.

225042240522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225042240522 is an abundant number, since it is smaller than the sum of its proper divisors (268603620342).

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

225042240522 is a wasteful number, since it uses less digits than its factorization.

225042240522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24123.

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 225042 and 240522, that added together give a palindrome (465564).

The spelling of 225042240522 in words is "two hundred twenty-five billion, forty-two million, two hundred forty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 313 467 626 934 939 1401 1878 2802 3443 5137 6886 10274 10329 15411 20658 23327 30822 46654 69981 139962 146171 256597 292342 438513 513194 769791 877026 1539582 1607881 3215762 4823643 7301351 9647286 10893709 14602702 21787418 21904053 32681127 43808106 65362254 80314861 119830799 160629722 239661598 240944583 359492397 481889166 718984794 3409730917 6819461834 10229192751 20458385502 37507040087 75014080174 112521120261 225042240522