Search a number
-
+
225103312 = 24710918439
BaseRepresentation
bin11010110101011…
…00110111010000
3120200120102200201
431122230313100
5430111301222
634200424544
75402226610
oct1532546720
9520512621
10225103312
111060794a5
1263478154
1337836535
1421c78a40
1514b67427
hexd6acdd0

225103312 has 40 divisors (see below), whose sum is σ = 503043200. Its totient is φ = 95582592.

The previous prime is 225103289. The next prime is 225103313. The reversal of 225103312 is 213301522.

It is a self number, because there is not a number n which added to its sum of digits gives 225103312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225103313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989 + ... + 21427.

It is an arithmetic number, because the mean of its divisors is an integer number (12576080).

Almost surely, 2225103312 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 225103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251521600).

225103312 is an abundant number, since it is smaller than the sum of its proper divisors (277939888).

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

225103312 is a wasteful number, since it uses less digits than its factorization.

225103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18563 (or 18557 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 225103312 is about 15003.4433381141. The cubic root of 225103312 is about 608.3132763430.

Adding to 225103312 its reverse (213301522), we get a palindrome (438404834).

The spelling of 225103312 in words is "two hundred twenty-five million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 3052 6104 12208 18439 36878 73756 129073 147512 258146 295024 516292 1032584 2009851 2065168 4019702 8039404 14068957 16078808 28137914 32157616 56275828 112551656 225103312