| Base | Representation |
|---|---|
| bin | 110011011010111101111001… |
| … | …000000111011001101110000 |
| 3 | 1002122202001210120112122211000 |
| 4 | 303122331321000323031300 |
| 5 | 214120244414003202220 |
| 6 | 2120553255433122000 |
| 7 | 65431024244112450 |
| oct | 6332757100731560 |
| 9 | 1078661716478730 |
| 10 | 226153533256560 |
| 11 | 660721a1792928 |
| 12 | 214460a0859300 |
| 13 | 99262571937c0 |
| 14 | 3dbbc64799d60 |
| 15 | 1b22b8bc68390 |
| hex | cdaf7903b370 |
226153533256560 has 1280 divisors, whose sum is σ = 962820295557120. Its totient is φ = 47512998973440.
The previous prime is 226153533256543. The next prime is 226153533256583. The reversal of 226153533256560 is 65652335351622.
226153533256560 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 3 + 53 + 3 + 25 + 6 + 560 = 666.
It is a super-2 number, since 2×2261535332565602 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 226153533256497 and 226153533256506.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112907404519 + ... + 112907406521.
It is an arithmetic number, because the mean of its divisors is an integer number (752203355904).
Almost surely, 2226153533256560 is an apocalyptic number.
226153533256560 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 226153533256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481410147778560).
226153533256560 is an abundant number, since it is smaller than the sum of its proper divisors (736666762300560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226153533256560 is a wasteful number, since it uses less digits than its factorization.
226153533256560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4203 (or 4191 counting only the distinct ones).
The product of its (nonzero) digits is 29160000, while the sum is 54.
The spelling of 226153533256560 in words is "two hundred twenty-six trillion, one hundred fifty-three billion, five hundred thirty-three million, two hundred fifty-six thousand, five hundred sixty".
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