| Base | Representation |
|---|---|
| bin | 1111101110011011… |
| … | …0000011110000100 |
| 3 | 101220012000021100102 |
| 4 | 3323212300132010 |
| 5 | 32121114204340 |
| 6 | 1534511503232 |
| 7 | 206414646500 |
| oct | 37346603604 |
| 9 | 11805007312 |
| 10 | 4221241220 |
| 11 | 1876865009 |
| 12 | 999827b18 |
| 13 | 523705091 |
| 14 | 2c08a5300 |
| 15 | 19a8c8215 |
| hex | fb9b0784 |
4221241220 has 72 divisors (see below), whose sum is σ = 10325140056. Its totient is φ = 1445423616.
The previous prime is 4221241177. The next prime is 4221241231. The reversal of 4221241220 is 221421224.
It can be written as a sum of positive squares in 4 ways, for example, as 186704896 + 4034536324 = 13664^2 + 63518^2 .
It is a super-3 number, since 3×42212412203 (a number of 30 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 = 4221241192 and 4221241201.
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, 915962 + ... + 920558.
It is an arithmetic number, because the mean of its divisors is an integer number (143404723).
Almost surely, 24221241220 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4221241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162570028).
4221241220 is an abundant number, since it is smaller than the sum of its proper divisors (6103898836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4221241220 is a wasteful number, since it uses less digits than its factorization.
4221241220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5557 (or 5548 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 4221241220 is about 64971.0798740486. The cubic root of 4221241220 is about 1616.1440095047.
Adding to 4221241220 its reverse (221421224), we get a palindrome (4442662444).
The spelling of 4221241220 in words is "four billion, two hundred twenty-one million, two hundred forty-one thousand, two hundred twenty".
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