| Base | Representation |
|---|---|
| bin | 110011001111000101100001… |
| … | …001001011100110000000000 |
| 3 | 1002112212000102011201202110000 |
| 4 | 303033011201021130300000 |
| 5 | 214013410324244123043 |
| 6 | 2115130232444240000 |
| 7 | 65315032062635160 |
| oct | 6317054111346000 |
| 9 | 1075760364652400 |
| 10 | 225337089051648 |
| 11 | 65887a17275642 |
| 12 | 21333a07240000 |
| 13 | 9897272412b82 |
| 14 | 3d905324b25a0 |
| 15 | 1b0b804e892d3 |
| hex | ccf16125cc00 |
225337089051648 has 1760 divisors, whose sum is σ = 847320661693440. Its totient is φ = 58160757473280.
The previous prime is 225337089051631. The next prime is 225337089051689. The reversal of 225337089051648 is 846150980733522.
225337089051648 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 3 + 70 + 8 + 9 + 0 + 516 + 48 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 94639683418 + ... + 94639685798.
It is an arithmetic number, because the mean of its divisors is an integer number (481432194144).
It is a 2-persistent number, because it is pandigital, and so is 2⋅225337089051648 = 450674178103296, but 3⋅225337089051648 = 676011267154944 is not.
Almost surely, 2225337089051648 is an apocalyptic number.
225337089051648 is a gapful number since it is divisible by the number (28) 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 225337089051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423660330846720).
225337089051648 is an abundant number, since it is smaller than the sum of its proper divisors (621983572641792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225337089051648 is a wasteful number, since it uses less digits than its factorization.
225337089051648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2835 (or 2808 counting only the distinct ones).
The product of its (nonzero) digits is 87091200, while the sum is 63.
The spelling of 225337089051648 in words is "two hundred twenty-five trillion, three hundred thirty-seven billion, eighty-nine million, fifty-one thousand, six hundred forty-eight".
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