| Base | Representation |
|---|---|
| bin | 110011010011101101111111… |
| … | …001110101100010000000000 |
| 3 | 1002120222110002022001121210000 |
| 4 | 303103231333032230100000 |
| 5 | 214034114300324302430 |
| 6 | 2115532400333440000 |
| 7 | 65350031462405550 |
| oct | 6323557716542000 |
| 9 | 1076873068047700 |
| 10 | 225655421322240 |
| 11 | 6599aa2156a098 |
| 12 | 21385648040000 |
| 13 | 98bb2a425b470 |
| 14 | 3da1ad0215160 |
| 15 | 1b14c36c86e60 |
| hex | cd3b7f3ac400 |
225655421322240 has 5280 divisors, whose sum is σ = 1060352089251840. Its totient is φ = 44674524905472.
The previous prime is 225655421322229. The next prime is 225655421322311. The reversal of 225655421322240 is 42223124556522.
225655421322240 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 554 + 2 + 1 + 32 + 22 + 40 = 666.
225655421322240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1776814341057 + ... + 1776814341183.
It is an arithmetic number, because the mean of its divisors is an integer number (200824259328).
Almost surely, 2225655421322240 is an apocalyptic number.
225655421322240 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 225655421322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530176044625920).
225655421322240 is an abundant number, since it is smaller than the sum of its proper divisors (834696667929600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225655421322240 is a wasteful number, since it uses less digits than its factorization.
225655421322240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 319 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 2304000, while the sum is 45.
Adding to 225655421322240 its reverse (42223124556522), we get a palindrome (267878545878762).
The spelling of 225655421322240 in words is "two hundred twenty-five trillion, six hundred fifty-five billion, four hundred twenty-one million, three hundred twenty-two thousand, two hundred forty".
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