| Base | Representation |
|---|---|
| bin | 110011011010110111011011… |
| … | …111011011101100000000000 |
| 3 | 1002122201101220120201201020000 |
| 4 | 303122313123323131200000 |
| 5 | 214120141220311141140 |
| 6 | 2120550152022120000 |
| 7 | 65430360431356566 |
| oct | 6332673373354000 |
| 9 | 1078641816651200 |
| 10 | 226146602833920 |
| 11 | 6606a26574080a |
| 12 | 21444887880000 |
| 13 | 99256c140bbc2 |
| 14 | 3dbb7a8191a36 |
| 15 | 1b228d35e4a30 |
| hex | cdaddbedd800 |
226146602833920 has 960 divisors, whose sum is σ = 837332957260800. Its totient is φ = 58318178549760.
The previous prime is 226146602833909. The next prime is 226146602833937. The reversal of 226146602833920 is 29338206641622.
226146602833920 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 4 + 6 + 602 + 8 + 3 + 3 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×2261466028339203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52119519111 + ... + 52119523449.
It is an arithmetic number, because the mean of its divisors is an integer number (872221830480).
Almost surely, 2226146602833920 is an apocalyptic number.
226146602833920 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 226146602833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418666478630400).
226146602833920 is an abundant number, since it is smaller than the sum of its proper divisors (611186354426880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226146602833920 is a wasteful number, since it uses less digits than its factorization.
226146602833920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6436 (or 6407 counting only the distinct ones).
The product of its (nonzero) digits is 8957952, while the sum is 54.
The spelling of 226146602833920 in words is "two hundred twenty-six trillion, one hundred forty-six billion, six hundred two million, eight hundred thirty-three thousand, nine hundred twenty".
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