| Base | Representation |
|---|---|
| bin | 1111101110011110… |
| … | …0001010011001000 |
| 3 | 101220012101102200222 |
| 4 | 3323213201103020 |
| 5 | 32121142104344 |
| 6 | 1534520045212 |
| 7 | 206416441550 |
| oct | 37347412310 |
| 9 | 11805342628 |
| 10 | 4221441224 |
| 11 | 1876991300 |
| 12 | 999903808 |
| 13 | 523775120 |
| 14 | 2c0918160 |
| 15 | 19a9175ee |
| hex | fb9e14c8 |
4221441224 has 192 divisors, whose sum is σ = 11341814400. Its totient is φ = 1428387840.
The previous prime is 4221441199. The next prime is 4221441233.
It is a happy number.
4221441224 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 4221441193 and 4221441202.
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 47 ways as a sum of consecutive naturals, for example, 1496087 + ... + 1498905.
It is an arithmetic number, because the mean of its divisors is an integer number (59071950).
Almost surely, 24221441224 is an apocalyptic number.
4221441224 is a gapful number since it is divisible by the number (44) 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 4221441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670907200).
4221441224 is an abundant number, since it is smaller than the sum of its proper divisors (7120373176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4221441224 is a wasteful number, since it uses less digits than its factorization.
4221441224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2884 (or 2869 counting only the distinct ones).
The product of its digits is 4096, while the sum is 26.
The square root of 4221441224 is about 64972.6190329434. The cubic root of 4221441224 is about 1616.1695336057.
It can be divided in two parts, 42214 and 41224, that added together give a palindrome (83438).
The spelling of 4221441224 in words is "four billion, two hundred twenty-one million, four hundred forty-one thousand, two hundred twenty-four".
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