Base | Representation |
---|---|
bin | 10110110010110111… |
… | …10110010001000001 |
3 | 1011120212202020221100 |
4 | 23121123312101001 |
5 | 200030400000000 |
6 | 5342204245013 |
7 | 612160232262 |
oct | 133133662101 |
9 | 34525666840 |
10 | 12237890625 |
11 | 520aa743a4 |
12 | 2456540769 |
13 | 12005274cc |
14 | 841464969 |
15 | 4b95b1a00 |
hex | 2d96f6441 |
12237890625 has 81 divisors (see below), whose sum is σ = 22477039273. Its totient is φ = 6416250000.
The previous prime is 12237890603. The next prime is 12237890627. The reversal of 12237890625 is 52609873221.
The square root of 12237890625 is 110625.
It is a perfect power (a square), and thus also a powerful number.
12237890625 is a `hidden beast` number, since 12 + 2 + 3 + 7 + 8 + 9 + 0 + 625 = 666.
12237890625 is digitally balanced in base 2, 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 4 ways, for example, as 8700971841 + 3536918784 = 93279^2 + 59472^2 .
It is not a de Polignac number, because 12237890625 - 211 = 12237888577 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (12237890627) 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 80 ways as a sum of consecutive naturals, for example, 207421846 + ... + 207421904.
Almost surely, 212237890625 is an apocalyptic number.
12237890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
12237890625 is the 110625-th square number.
12237890625 is the 55313-rd centered octagonal number.
It is an amenable number.
12237890625 is a deficient number, since it is larger than the sum of its proper divisors (10239148648).
12237890625 is an frugal number, since it uses more digits than its factorization.
12237890625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 12237890625 in words is "twelve billion, two hundred thirty-seven million, eight hundred ninety thousand, six hundred twenty-five".
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