Search a number
-
+
201225096 = 233214918757
BaseRepresentation
bin10111111111001…
…11001110001000
3112000122021221100
423333213032020
5403003200341
631544541400
74662246042
oct1377471610
9460567840
10201225096
11a364a436
1257481860
13328c5b07
141ca20a92
15129ec3b6
hexbfe7388

201225096 has 48 divisors (see below), whose sum is σ = 548671500. Its totient is φ = 66621312.

The previous prime is 201225083. The next prime is 201225097. The reversal of 201225096 is 690522102.

201225096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 5616900 = 13986^2 + 2370^2 .

It is not an unprimeable number, because it can be changed into a prime (201225097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350 + ... + 20106.

Almost surely, 2201225096 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 201225096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274335750).

201225096 is an abundant number, since it is smaller than the sum of its proper divisors (347446404).

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

201225096 is a wasteful number, since it uses less digits than its factorization.

201225096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18918 (or 18911 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 201225096 is about 14185.3831812891. The cubic root of 201225096 is about 585.9951853053.

Adding to 201225096 its reverse (690522102), we get a palindrome (891747198).

The spelling of 201225096 in words is "two hundred one million, two hundred twenty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 18757 37514 56271 75028 112542 150056 168813 225084 337626 450168 675252 1350504 2794793 5589586 8384379 11179172 16768758 22358344 25153137 33537516 50306274 67075032 100612548 201225096