| Base | Representation |
|---|---|
| bin | 11010111111110… |
| … | …00011010000000 |
| 3 | 120210010102112000 |
| 4 | 31133320122000 |
| 5 | 430433230222 |
| 6 | 34245504000 |
| 7 | 5416614030 |
| oct | 1537703200 |
| 9 | 523112460 |
| 10 | 226461312 |
| 11 | 106916810 |
| 12 | 63a12000 |
| 13 | 37bc069c |
| 14 | 2210d8c0 |
| 15 | 14d349ac |
| hex | d7f8680 |
226461312 has 512 divisors, whose sum is σ = 893030400. Its totient is φ = 54743040.
The previous prime is 226461307. The next prime is 226461337. The reversal of 226461312 is 213164622.
226461312 is a `hidden beast` number, since 2 + 2 + 646 + 1 + 3 + 12 = 666.
226461312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2264613122 = 102569451665522688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6120558 + ... + 6120594.
It is an arithmetic number, because the mean of its divisors is an integer number (1744200).
Almost surely, 2226461312 is an apocalyptic number.
226461312 is a gapful number since it is divisible by the number (22) 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 226461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).
226461312 is an abundant number, since it is smaller than the sum of its proper divisors (666569088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226461312 is a wasteful number, since it uses less digits than its factorization.
226461312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 101 (or 83 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 226461312 is about 15048.6315656939. The cubic root of 226461312 is about 609.5340991443.
The spelling of 226461312 in words is "two hundred twenty-six million, four hundred sixty-one thousand, three hundred twelve".
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