| Base | Representation |
|---|---|
| bin | 1101001101011110101… |
| … | …1001101110100000000 |
| 3 | 210200211000010102201000 |
| 4 | 3103113223031310000 |
| 5 | 12204301410321400 |
| 6 | 252132410212000 |
| 7 | 22253125241256 |
| oct | 3232753156400 |
| 9 | 720730112630 |
| 10 | 226956729600 |
| 11 | 88285180127 |
| 12 | 37b9b424000 |
| 13 | 1852c05c753 |
| 14 | adb029c5d6 |
| 15 | 5d84d0d600 |
| hex | 34d7acdd00 |
226956729600 has 432 divisors, whose sum is σ = 833905723840. Its totient is φ = 60399820800.
The previous prime is 226956729563. The next prime is 226956729619. The reversal of 226956729600 is 6927659622.
It is a happy number.
226956729600 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 5 + 6 + 7 + 29 + 600 = 666.
226956729600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×2269567296002 (a number of 24 digits) contains 22 as substring.
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 pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114219807 + ... + 114221793.
Almost surely, 2226956729600 is an apocalyptic number.
226956729600 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 226956729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416952861920).
226956729600 is an abundant number, since it is smaller than the sum of its proper divisors (606948994240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226956729600 is a wasteful number, since it uses less digits than its factorization.
226956729600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2683 (or 2658 counting only the distinct ones).
The product of its (nonzero) digits is 4898880, while the sum is 54.
The spelling of 226956729600 in words is "two hundred twenty-six billion, nine hundred fifty-six million, seven hundred twenty-nine thousand, six hundred".
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