| Base | Representation |
|---|---|
| bin | 1100101100110111000… |
| … | …0001010100000000000 |
| 3 | 202212012202101201220100 |
| 4 | 3023031300022200000 |
| 5 | 12033333240220000 |
| 6 | 244123450042400 |
| 7 | 21523131055305 |
| oct | 3131560124000 |
| 9 | 685182351810 |
| 10 | 218200320000 |
| 11 | 845a1434a83 |
| 12 | 36356a19400 |
| 13 | 17764bb95b0 |
| 14 | a7bd3750ac |
| 15 | 5a211eba00 |
| hex | 32cdc0a800 |
218200320000 has 1440 divisors, whose sum is σ = 894061808640. Its totient is φ = 50872320000.
The previous prime is 218200319971. The next prime is 218200320007. The reversal of 218200320000 is 23002812.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×2182003200002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (218200320007) 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 119 ways as a sum of consecutive naturals, for example, 4642559977 + ... + 4642560023.
It is an arithmetic number, because the mean of its divisors is an integer number (620876256).
Almost surely, 2218200320000 is an apocalyptic number.
218200320000 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 218200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447030904320).
218200320000 is an abundant number, since it is smaller than the sum of its proper divisors (675861488640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218200320000 is a wasteful number, since it uses less digits than its factorization.
218200320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 139 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 218200320000 its reverse (23002812), we get a palindrome (218223322812).
The spelling of 218200320000 in words is "two hundred eighteen billion, two hundred million, three hundred twenty thousand".
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