Search a number
-
+
225222522 = 2372799697
BaseRepresentation
bin11010110110010…
…01111101111010
3120200210111012220
431123021331322
5430124110042
634203144510
75403234300
oct1533117572
9520714186
10225222522
11106150018
1263515136
1337878885
1421caa270
1514b8c8ec
hexd6c9f7a

225222522 has 48 divisors (see below), whose sum is σ = 530674560. Its totient is φ = 63528192.

The previous prime is 225222521. The next prime is 225222539.

225222522 is nontrivially palindromic in base 10.

225222522 is digitally balanced in base 3, 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 = 225222492 and 225222501.

It is not an unprimeable number, because it can be changed into a prime (225222521) 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, 18378 + ... + 28074.

It is an arithmetic number, because the mean of its divisors is an integer number (11055720).

Almost surely, 2225222522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225222522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265337280).

225222522 is an abundant number, since it is smaller than the sum of its proper divisors (305452038).

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

225222522 is a wasteful number, since it uses less digits than its factorization.

225222522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9795 (or 9788 counting only the distinct ones).

The product of its digits is 3200, while the sum is 24.

The square root of 225222522 is about 15007.4155669789. The cubic root of 225222522 is about 608.4206407166.

The spelling of 225222522 in words is "two hundred twenty-five million, two hundred twenty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1106 1659 3318 3871 7742 9697 11613 19394 23226 29091 58182 67879 135758 203637 407274 475153 766063 950306 1425459 1532126 2298189 2850918 4596378 5362441 10724882 16087323 32174646 37537087 75074174 112611261 225222522