| Base | Representation |
|---|---|
| bin | 10011101111001… |
| … | …110001111101000 |
| 3 | 212002002222012200 |
| 4 | 103233032033220 |
| 5 | 1134233134331 |
| 6 | 52505340200 |
| 7 | 11130460602 |
| oct | 2357161750 |
| 9 | 762088180 |
| 10 | 331146216 |
| 11 | 15aa18065 |
| 12 | 92a97660 |
| 13 | 537b470b |
| 14 | 31da0172 |
| 15 | 1e1125e6 |
| hex | 13bce3e8 |
331146216 has 96 divisors (see below), whose sum is σ = 936748800. Its totient is φ = 105557760.
The previous prime is 331146169. The next prime is 331146223. The reversal of 331146216 is 612641133.
331146216 is a `hidden beast` number, since 3 + 31 + 1 + 4 + 621 + 6 = 666.
It is a super-2 number, since 2×3311462162 = 219315632742237312, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 331146216.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197815 + ... + 199481.
It is an arithmetic number, because the mean of its divisors is an integer number (9757800).
Almost surely, 2331146216 is an apocalyptic number.
331146216 is a gapful number since it is divisible by the number (36) 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 331146216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468374400).
331146216 is an abundant number, since it is smaller than the sum of its proper divisors (605602584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331146216 is a wasteful number, since it uses less digits than its factorization.
331146216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 331146216 is about 18197.4233340877. The cubic root of 331146216 is about 691.8414830648.
Adding to 331146216 its reverse (612641133), we get a palindrome (943787349).
The spelling of 331146216 in words is "three hundred thirty-one million, one hundred forty-six thousand, two hundred sixteen".
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