Base | Representation |
---|---|
bin | 11000101000100010… |
… | …10111110001000000 |
3 | 1021010200011121102211 |
4 | 30110101113301000 |
5 | 204041100000000 |
6 | 10024145351504 |
7 | 645504434212 |
oct | 142421276100 |
9 | 37120147384 |
10 | 13225000000 |
11 | 5677193273 |
12 | 2691038594 |
13 | 1329ba01b4 |
14 | 8d65b85b2 |
15 | 5260987ba |
hex | 314457c40 |
13225000000 has 189 divisors, whose sum is σ = 34292462911. Its totient is φ = 5060000000.
The previous prime is 13224999979. The next prime is 13225000001. The reversal of 13225000000 is 52231.
The square root of 13225000000 is 115000.
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 9402793024 + 3822206976 = 96968^2 + 61824^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (13225000001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 574999989 + ... + 575000011.
Almost surely, 213225000000 is an apocalyptic number.
13225000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
13225000000 is the 115000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13225000000
13225000000 is an abundant number, since it is smaller than the sum of its proper divisors (21067462911).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13225000000 is an frugal number, since it uses more digits than its factorization.
13225000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 13.
Adding to 13225000000 its reverse (52231), we get a palindrome (13225052231).
The spelling of 13225000000 in words is "thirteen billion, two hundred twenty-five million", and thus it is an aban number.
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