Base | Representation |
---|---|
bin | 100100100010000… |
… | …1100100000000000 |
3 | 10011102121221121111 |
4 | 1021010030200000 |
5 | 10002303232134 |
6 | 321345533104 |
7 | 42243303322 |
oct | 11104144000 |
9 | 3142557544 |
10 | 1225836544 |
11 | 579a53159 |
12 | 2a2644194 |
13 | 166c6c38a |
14 | b8b37612 |
15 | 72940c64 |
hex | 4910c800 |
1225836544 has 96 divisors (see below), whose sum is σ = 2624370840. Its totient is φ = 570425344.
The previous prime is 1225836539. The next prime is 1225836551. The reversal of 1225836544 is 4456385221.
It can be written as a sum of positive squares in 4 ways, for example, as 1205478400 + 20358144 = 34720^2 + 4512^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1225836497 and 1225836506.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4769664 + ... + 4769920.
Almost surely, 21225836544 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 1225836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312185420).
1225836544 is an abundant number, since it is smaller than the sum of its proper divisors (1398534296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1225836544 is a wasteful number, since it uses less digits than its factorization.
1225836544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 433 (or 413 counting only the distinct ones).
The product of its digits is 230400, while the sum is 40.
The square root of 1225836544 is about 35011.9485890174. The cubic root of 1225836544 is about 1070.2309874858.
The spelling of 1225836544 in words is "one billion, two hundred twenty-five million, eight hundred thirty-six thousand, five hundred forty-four".
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