| Base | Representation |
|---|---|
| bin | 11010000000110… |
| … | …00111101010000 |
| 3 | 120012121000101220 |
| 4 | 31000120331100 |
| 5 | 421330043112 |
| 6 | 33352525040 |
| 7 | 5256502122 |
| oct | 1500307520 |
| 9 | 505530356 |
| 10 | 218206032 |
| 11 | 102198470 |
| 12 | 610b0780 |
| 13 | 3628ccc5 |
| 14 | 20da1212 |
| 15 | 1425398c |
| hex | d018f50 |
218206032 has 80 divisors (see below), whose sum is σ = 647339520. Its totient is φ = 62640000.
The previous prime is 218206031. The next prime is 218206039. The reversal of 218206032 is 230602812.
It is a super-2 number, since 2×2182060322 = 95227744802370048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 218205993 and 218206011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (218206031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844 + ... + 20907.
It is an arithmetic number, because the mean of its divisors is an integer number (8091744).
Almost surely, 2218206032 is an apocalyptic number.
218206032 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 218206032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323669760).
218206032 is an abundant number, since it is smaller than the sum of its proper divisors (429133488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218206032 is a wasteful number, since it uses less digits than its factorization.
218206032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21792 (or 21786 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 218206032 is about 14771.7985364004. The cubic root of 218206032 is about 602.0357075688.
Adding to 218206032 its reverse (230602812), we get a palindrome (448808844).
The spelling of 218206032 in words is "two hundred eighteen million, two hundred six thousand, thirty-two".
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