| Base | Representation |
|---|---|
| bin | 11010101101111… |
| … | …01100101010100 |
| 3 | 120121201122021000 |
| 4 | 31112331211110 |
| 5 | 424333420340 |
| 6 | 34123423300 |
| 7 | 5361005316 |
| oct | 1526754524 |
| 9 | 517648230 |
| 10 | 224123220 |
| 11 | 10556a102 |
| 12 | 63084b30 |
| 13 | 375823b9 |
| 14 | 21aa17b6 |
| 15 | 14a21d30 |
| hex | d5bd954 |
224123220 has 192 divisors, whose sum is σ = 731566080. Its totient is φ = 56908800.
The previous prime is 224123209. The next prime is 224123227. The reversal of 224123220 is 22321422.
224123220 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
224123220 is strictly pandigital in base 9.
It is a junction number, because it is equal to n+sod(n) for n = 224123193 and 224123202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (224123227) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173325 + ... + 1173515.
It is an arithmetic number, because the mean of its divisors is an integer number (3810240).
Almost surely, 2224123220 is an apocalyptic number.
224123220 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 224123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).
224123220 is an abundant number, since it is smaller than the sum of its proper divisors (507442860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224123220 is a wasteful number, since it uses less digits than its factorization.
224123220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 303 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 224123220 is about 14970.7454724205. The cubic root of 224123220 is about 607.4291336327.
Adding to 224123220 its reverse (22321422), we get a palindrome (246444642).
The spelling of 224123220 in words is "two hundred twenty-four million, one hundred twenty-three thousand, two hundred twenty".
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