Base | Representation |
---|---|
bin | 110011010101000010110100… |
… | …111111111111000000000000 |
3 | 1002121022011012222001121201000 |
4 | 303111002310333333000000 |
5 | 214042112332020443020 |
6 | 2120042304002212000 |
7 | 65356435104306030 |
oct | 6325026477770000 |
9 | 1077264188047630 |
10 | 225746517749760 |
11 | 65a25619085427 |
12 | 2139b230054000 |
13 | 98c6a61280307 |
14 | 3da62929a18c0 |
15 | 1b172b94e1090 |
hex | cd50b4fff000 |
225746517749760 has 3328 divisors, whose sum is σ = 1034974185062400. Its totient is φ = 45481743876096.
The previous prime is 225746517749671. The next prime is 225746517749761. The reversal of 225746517749760 is 67947715647522.
It is a happy number.
225746517749760 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 4 + 6 + 5 + 1 + 77 + 497 + 60 = 666.
It is a super-2 number, since 2×2257465177497602 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225746517749761) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62585669877 + ... + 62585673483.
Almost surely, 2225746517749760 is an apocalyptic number.
225746517749760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 225746517749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517487092531200).
225746517749760 is an abundant number, since it is smaller than the sum of its proper divisors (809227667312640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225746517749760 is a wasteful number, since it uses less digits than its factorization.
225746517749760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3731 (or 3703 counting only the distinct ones).
The product of its (nonzero) digits is 1244678400, while the sum is 72.
The spelling of 225746517749760 in words is "two hundred twenty-five trillion, seven hundred forty-six billion, five hundred seventeen million, seven hundred forty-nine thousand, seven hundred sixty".
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