Base | Representation |
---|---|
bin | 1100111111100100000… |
… | …0100011010000111000 |
3 | 210100011122200212122102 |
4 | 3033321000203100320 |
5 | 12124124034101240 |
6 | 250314000442532 |
7 | 22061424136100 |
oct | 3177100432070 |
9 | 710148625572 |
10 | 223221003320 |
11 | 86738489737 |
12 | 37318319448 |
13 | 1808510a623 |
14 | ab3809c200 |
15 | 5c16d8b815 |
hex | 33f9023438 |
223221003320 has 96 divisors (see below), whose sum is σ = 585420210000. Its totient is φ = 76379208192.
The previous prime is 223221003319. The next prime is 223221003347. The reversal of 223221003320 is 23300122322.
It is a super-3 number, since 3×2232210033203 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 223221003292 and 223221003301.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863924 + ... + 1092156.
Almost surely, 2223221003320 is an apocalyptic number.
223221003320 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 223221003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292710105000).
223221003320 is an abundant number, since it is smaller than the sum of its proper divisors (362199206680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223221003320 is a wasteful number, since it uses less digits than its factorization.
223221003320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 228757 (or 228746 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
Adding to 223221003320 its reverse (23300122322), we get a palindrome (246521125642).
The spelling of 223221003320 in words is "two hundred twenty-three billion, two hundred twenty-one million, three thousand, three hundred twenty".
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