Search a number
-
+
201345151225 = 5217252792
BaseRepresentation
bin1011101110000100011…
…0110011000011111001
3201020201002102110002011
42323201012303003321
511244323324314400
6232255141205521
720355343355461
oct2734106630371
9636632373064
10201345151225
11784320a8229
12330321008a1
1315ca9c0554a
149a609d6ba1
1553865d28ba
hex2ee11b30f9

201345151225 has 27 divisors (see below), whose sum is σ = 265268492557. Its totient is φ = 151572337280.

The previous prime is 201345151193. The next prime is 201345151229. The reversal of 201345151225 is 522151543102.

The square root of 201345151225 is 448715.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4709665129 + 196635486096 = 68627^2 + 443436^2 .

It is not a de Polignac number, because 201345151225 - 25 = 201345151193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201345151229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38138136 + ... + 38143414.

Almost surely, 2201345151225 is an apocalyptic number.

201345151225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201345151225 is the 448715-th square number.

201345151225 is the 224358-th centered octagonal number.

It is an amenable number.

201345151225 is a deficient number, since it is larger than the sum of its proper divisors (63923341332).

201345151225 is an frugal number, since it uses more digits than its factorization.

201345151225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 201345151225 its reverse (522151543102), we get a palindrome (723496694327).

The spelling of 201345151225 in words is "two hundred one billion, three hundred forty-five million, one hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5279 7225 26395 89743 131975 448715 1525631 2243575 7628155 27867841 38140775 139339205 473753297 696696025 2368766485 8053806049 11843832425 40269030245 201345151225