| Base | Representation |
|---|---|
| bin | 11010111100111… |
| … | …01000100100000 |
| 3 | 120202102102100000 |
| 4 | 31132131010200 |
| 5 | 430334242300 |
| 6 | 34233500000 |
| 7 | 5413465233 |
| oct | 1536350440 |
| 9 | 522372300 |
| 10 | 226087200 |
| 11 | 106690729 |
| 12 | 63871600 |
| 13 | 37abc311 |
| 14 | 2205341a |
| 15 | 14cadc00 |
| hex | d79d120 |
226087200 has 216 divisors, whose sum is σ = 827478288. Its totient is φ = 60238080.
The previous prime is 226087193. The next prime is 226087207. The reversal of 226087200 is 2780622.
It is an interprime number because it is at equal distance from previous prime (226087193) and next prime (226087207).
It is a tau number, because it is divible by the number of its divisors (216).
It is a super-2 number, since 2×2260872002 = 102230844007680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (226087207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193819 + ... + 194981.
It is an arithmetic number, because the mean of its divisors is an integer number (3830918).
Almost surely, 2226087200 is an apocalyptic number.
226087200 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 226087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413739144).
226087200 is an abundant number, since it is smaller than the sum of its proper divisors (601391088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226087200 is a wasteful number, since it uses less digits than its factorization.
226087200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1198 (or 1173 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 226087200 is about 15036.1963275291. The cubic root of 226087200 is about 609.1982659074.
The spelling of 226087200 in words is "two hundred twenty-six million, eighty-seven thousand, two hundred".
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