| Base | Representation |
|---|---|
| bin | 110011100000010010100011… |
| … | …001111101001011000000000 |
| 3 | 1002201001000221110111121120000 |
| 4 | 303200102203033221120000 |
| 5 | 214142243023334311010 |
| 6 | 2121433311455320000 |
| 7 | 65466323524003506 |
| oct | 6340224317513000 |
| 9 | 1081030843447500 |
| 10 | 226519313978880 |
| 11 | 661a333543844a |
| 12 | 214a4b63b20000 |
| 13 | 99518ab271630 |
| 14 | 3dd1844000676 |
| 15 | 1b2c4493eb7c0 |
| hex | ce04a33e9600 |
226519313978880 has 1600 divisors, whose sum is σ = 903957343027200. Its totient is φ = 53837769277440.
The previous prime is 226519313978851. The next prime is 226519313978899. The reversal of 226519313978880 is 88879313915622.
226519313978880 is a `hidden beast` number, since 2 + 2 + 6 + 51 + 9 + 31 + 397 + 88 + 80 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 226519313978799 and 226519313978808.
It is a congruent number.
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, 40028149491 + ... + 40028155149.
It is an arithmetic number, because the mean of its divisors is an integer number (564973339392).
Almost surely, 2226519313978880 is an apocalyptic number.
226519313978880 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 226519313978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451978671513600).
226519313978880 is an abundant number, since it is smaller than the sum of its proper divisors (677438029048320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226519313978880 is a wasteful number, since it uses less digits than its factorization.
226519313978880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6217 (or 6192 counting only the distinct ones).
The product of its (nonzero) digits is 313528320, while the sum is 72.
The spelling of 226519313978880 in words is "two hundred twenty-six trillion, five hundred nineteen billion, three hundred thirteen million, nine hundred seventy-eight thousand, eight hundred eighty".
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