| Base | Representation |
|---|---|
| bin | 1110111010001100… |
| … | …1110010110010100 |
| 3 | 101022220212101200012 |
| 4 | 3232203032112110 |
| 5 | 31144031224340 |
| 6 | 1501045135352 |
| 7 | 201115143200 |
| oct | 35643162624 |
| 9 | 11286771605 |
| 10 | 4002211220 |
| 11 | 1774164587 |
| 12 | 9383ba558 |
| 13 | 4ba217027 |
| 14 | 29d76bb00 |
| 15 | 186560565 |
| hex | ee8ce594 |
4002211220 has 72 divisors (see below), whose sum is σ = 9937254600. Its totient is φ = 1349671680.
The previous prime is 4002211219. The next prime is 4002211223. The reversal of 4002211220 is 221122004.
It can be written as a sum of positive squares in 4 ways, for example, as 340993156 + 3661218064 = 18466^2 + 60508^2 .
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 4002211195 and 4002211204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4002211223) by changing a digit.
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, 26306 + ... + 93254.
It is an arithmetic number, because the mean of its divisors is an integer number (138017425).
Almost surely, 24002211220 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 4002211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968627300).
4002211220 is an abundant number, since it is smaller than the sum of its proper divisors (5935043380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4002211220 is a wasteful number, since it uses less digits than its factorization.
4002211220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67033 (or 67024 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 4002211220 is about 63263.0320171267. The cubic root of 4002211220 is about 1587.6935058310.
Adding to 4002211220 its reverse (221122004), we get a palindrome (4223333224).
The spelling of 4002211220 in words is "four billion, two million, two hundred eleven thousand, two hundred twenty".
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