Search a number
-
+
225110116 = 227211263397
BaseRepresentation
bin11010110101011…
…10100001100100
3120200120210000201
431122232201210
5430112010431
634200520244
75402255500
oct1532564144
9520523021
10225110116
11106083620
1263480084
133783966a
1421c7b300
1514b69461
hexd6ae864

225110116 has 72 divisors (see below), whose sum is σ = 503084736. Its totient is φ = 87151680.

The previous prime is 225110111. The next prime is 225110129. The reversal of 225110116 is 611011522.

225110116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225110093 and 225110102.

It is not an unprimeable number, because it can be changed into a prime (225110111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566830 + ... + 567226.

It is an arithmetic number, because the mean of its divisors is an integer number (6987288).

Almost surely, 2225110116 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 225110116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251542368).

225110116 is an abundant number, since it is smaller than the sum of its proper divisors (277974620).

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

225110116 is a wasteful number, since it uses less digits than its factorization.

225110116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 225110116 is about 15003.6700843494. The cubic root of 225110116 is about 608.3194052648.

Adding to 225110116 its reverse (611011522), we get a palindrome (836121638).

The spelling of 225110116 in words is "two hundred twenty-five million, one hundred ten thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 263 308 397 526 539 794 1052 1078 1588 1841 2156 2779 2893 3682 4367 5558 5786 7364 8734 11116 11572 12887 17468 19453 20251 25774 30569 38906 40502 51548 61138 77812 81004 104411 122276 141757 208822 213983 283514 417644 427966 567028 730877 855932 1148521 1461754 2297042 2923508 4594084 5116139 8039647 10232278 16079294 20464556 32158588 56277529 112555058 225110116