| Base | Representation |
|---|---|
| bin | 1101001011011010111… |
| … | …1001111011101100000 |
| 3 | 210122101111022210220000 |
| 4 | 3102312233033131200 |
| 5 | 12202133424334200 |
| 6 | 252001510220000 |
| 7 | 22233335260452 |
| oct | 3226657173540 |
| 9 | 718344283800 |
| 10 | 226404136800 |
| 11 | 88021261a66 |
| 12 | 37a66354600 |
| 13 | 1847172206a |
| 14 | ad5ab362d2 |
| 15 | 5d51557300 |
| hex | 34b6bcf760 |
226404136800 has 1440 divisors, whose sum is σ = 954515469600. Its totient is φ = 51836682240.
The previous prime is 226404136793. The next prime is 226404136801. The reversal of 226404136800 is 8631404622.
226404136800 is a `hidden beast` number, since 2 + 2 + 640 + 4 + 1 + 3 + 6 + 8 + 0 + 0 = 666.
226404136800 is digitally balanced in base 3, 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 (1440).
It is a super-2 number, since 2×2264041368002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226404136801) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 606981414 + ... + 606981786.
It is an arithmetic number, because the mean of its divisors is an integer number (662857965).
Almost surely, 2226404136800 is an apocalyptic number.
226404136800 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 226404136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477257734800).
226404136800 is an abundant number, since it is smaller than the sum of its proper divisors (728111332800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226404136800 is a wasteful number, since it uses less digits than its factorization.
226404136800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 470 (or 448 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 226404136800 in words is "two hundred twenty-six billion, four hundred four million, one hundred thirty-six thousand, eight hundred".
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