| Base | Representation |
|---|---|
| bin | 11010010110000… |
| … | …11001010000000 |
| 3 | 120101211222110001 |
| 4 | 31023003022000 |
| 5 | 423034002240 |
| 6 | 33532445344 |
| 7 | 5322320542 |
| oct | 1513031200 |
| 9 | 511758401 |
| 10 | 221000320 |
| 11 | 1038268a2 |
| 12 | 62019854 |
| 13 | 36a2ab28 |
| 14 | 214cb692 |
| 15 | 1460689a |
| hex | d2c3280 |
221000320 has 64 divisors (see below), whose sum is σ = 532684800. Its totient is φ = 87671808.
The previous prime is 221000281. The next prime is 221000327. The reversal of 221000320 is 23000122.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×2210003202 = 97682282880204800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 221000297 and 221000306.
It is not an unprimeable number, because it can be changed into a prime (221000327) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79921 + ... + 82639.
It is an arithmetic number, because the mean of its divisors is an integer number (8323200).
Almost surely, 2221000320 is an apocalyptic number.
221000320 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 221000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266342400).
221000320 is an abundant number, since it is smaller than the sum of its proper divisors (311684480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221000320 is a wasteful number, since it uses less digits than its factorization.
221000320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2865 (or 2853 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 221000320 is about 14866.0795100793. The cubic root of 221000320 is about 604.5946514114.
Adding to 221000320 its reverse (23000122), we get a palindrome (244000442).
The spelling of 221000320 in words is "two hundred twenty-one million, three hundred twenty", and thus it is an aban number.
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