Search a number
-
+
225221340344 = 237111328124543
BaseRepresentation
bin1101000111000000111…
…1001110110010111000
3210112100001200112011212
43101300033032302320
512142223130342334
6251244254542252
722162123543340
oct3216017166270
9715301615155
10225221340344
1187574636530
1237796207988
13183136721c0
14ac87a03d20
155cd27b8ece
hex34703cecb8

225221340344 has 64 divisors (see below), whose sum is σ = 566990807040. Its totient is φ = 80998680960.

The previous prime is 225221340341. The next prime is 225221340349. The reversal of 225221340344 is 443043122522.

225221340344 is digitally balanced in base 2, 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 225221340344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225221340341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14054264 + ... + 14070279.

It is an arithmetic number, because the mean of its divisors is an integer number (8859231360).

Almost surely, 2225221340344 is an apocalyptic number.

It is an amenable number.

225221340344 is an abundant number, since it is smaller than the sum of its proper divisors (341769466696).

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

225221340344 is a wasteful number, since it uses less digits than its factorization.

225221340344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28124580 (or 28124576 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 225221340344 its reverse (443043122522), we get a palindrome (668264462866).

It can be divided in two parts, 225221 and 340344, that added together give a palindrome (565565).

The spelling of 225221340344 in words is "two hundred twenty-five billion, two hundred twenty-one million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 28124543 56249086 112498172 196871801 224996344 309369973 365619059 393743602 618739946 731238118 787487204 1237479892 1462476236 1574974408 2165589811 2474959784 2559333413 2924952472 4021809649 4331179622 5118666826 8043619298 8662359244 10237333652 16087238596 17324718488 20474667304 28152667543 32174477192 56305335086 112610670172 225221340344