| Base | Representation |
|---|---|
| bin | 11010000000111… |
| … | …01000000110000 |
| 3 | 120012121212012000 |
| 4 | 31000131000300 |
| 5 | 421331111030 |
| 6 | 33353134000 |
| 7 | 5256601416 |
| oct | 1500350060 |
| 9 | 505555160 |
| 10 | 218222640 |
| 11 | 1021a9999 |
| 12 | 610ba300 |
| 13 | 3629772c |
| 14 | 20da72b6 |
| 15 | 14258860 |
| hex | d01d030 |
218222640 has 160 divisors (see below), whose sum is σ = 776140800. Its totient is φ = 56298240.
The previous prime is 218222639. The next prime is 218222647. The reversal of 218222640 is 46222812.
It is a happy number.
218222640 is a `hidden beast` number, since 2 + 18 + 2 + 2 + 2 + 640 = 666.
218222640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2182226402 = 95242241217139200, 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 (218222647) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65331 + ... + 68589.
It is an arithmetic number, because the mean of its divisors is an integer number (4850880).
Almost surely, 2218222640 is an apocalyptic number.
218222640 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 218222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388070400).
218222640 is an abundant number, since it is smaller than the sum of its proper divisors (557918160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218222640 is a wasteful number, since it uses less digits than its factorization.
218222640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3312 (or 3300 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 218222640 is about 14772.3606779688. The cubic root of 218222640 is about 602.0509811389.
The spelling of 218222640 in words is "two hundred eighteen million, two hundred twenty-two thousand, six hundred forty".
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