| Base | Representation |
|---|---|
| bin | 1100111000011010100… |
| … | …1010010001000100100 |
| 3 | 210011012221022201011200 |
| 4 | 3032012221102020210 |
| 5 | 12111211342114340 |
| 6 | 245355340202500 |
| 7 | 21663035344320 |
| oct | 3160651221044 |
| 9 | 704187281150 |
| 10 | 221302301220 |
| 11 | 8594341a420 |
| 12 | 36a81839430 |
| 13 | 17b3a759340 |
| 14 | a9d5326980 |
| 15 | 5b536d7330 |
| hex | 3386a52224 |
221302301220 has 576 divisors, whose sum is σ = 914051174400. Its totient is φ = 41847321600.
The previous prime is 221302301177. The next prime is 221302301221. The reversal of 221302301220 is 22103203122.
221302301220 is a `hidden beast` number, since 2 + 213 + 0 + 230 + 1 + 220 = 666.
221302301220 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 2×2213023012202 (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 a junction number, because it is equal to n+sod(n) for n = 221302301193 and 221302301202.
It is not an unprimeable number, because it can be changed into a prime (221302301221) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12784131 + ... + 12801429.
It is an arithmetic number, because the mean of its divisors is an integer number (1586894400).
Almost surely, 2221302301220 is an apocalyptic number.
221302301220 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 221302301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457025587200).
221302301220 is an abundant number, since it is smaller than the sum of its proper divisors (692748873180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221302301220 is a wasteful number, since it uses less digits than its factorization.
221302301220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17416 (or 17411 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 221302301220 its reverse (22103203122), we get a palindrome (243405504342).
The spelling of 221302301220 in words is "two hundred twenty-one billion, three hundred two million, three hundred one thousand, two hundred twenty".
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