| Base | Representation |
|---|---|
| bin | 11010100111000… |
| … | …01010110000000 |
| 3 | 120120000210210220 |
| 4 | 31103201112000 |
| 5 | 424121033440 |
| 6 | 34052223040 |
| 7 | 5350230303 |
| oct | 1523412600 |
| 9 | 516023726 |
| 10 | 223221120 |
| 11 | 105003371 |
| 12 | 6290aa80 |
| 13 | 37327905 |
| 14 | 21908b3a |
| 15 | 148e48d0 |
| hex | d4e1580 |
223221120 has 256 divisors, whose sum is σ = 778464000. Its totient is φ = 54190080.
The previous prime is 223221109. The next prime is 223221133. The reversal of 223221120 is 21122322.
It is a happy number.
It is a super-3 number, since 3×2232211203 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 223221120.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 1057815 + ... + 1058025.
It is an arithmetic number, because the mean of its divisors is an integer number (3040875).
Almost surely, 2223221120 is an apocalyptic number.
223221120 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 223221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389232000).
223221120 is an abundant number, since it is smaller than the sum of its proper divisors (555242880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223221120 is a wasteful number, since it uses less digits than its factorization.
223221120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 281 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 223221120 is about 14940.5863338759. The cubic root of 223221120 is about 606.6130666864.
Adding to 223221120 its reverse (21122322), we get a palindrome (244343442).
The spelling of 223221120 in words is "two hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".
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