Base | Representation |
---|---|
bin | 1000010001100001… |
… | …1111010011111100 |
3 | 12201210020002222212 |
4 | 2010120133103330 |
5 | 14022034342340 |
6 | 1004215555552 |
7 | 106016202200 |
oct | 20430372374 |
9 | 5653202885 |
10 | 2221012220 |
11 | a3a781399 |
12 | 51b98bbb8 |
13 | 2951aa71b |
14 | 170d8ab00 |
15 | ceebca65 |
hex | 8461f4fc |
2221012220 has 144 divisors (see below), whose sum is σ = 5772604320. Its totient is φ = 713664000.
The previous prime is 2221012217. The next prime is 2221012229. The reversal of 2221012220 is 222101222.
2221012220 is digitally balanced in base 2, because in such base 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 (14).
It is a junction number, because it is equal to n+sod(n) for n = 2221012195 and 2221012204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2221012229) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1880030 + ... + 1881210.
It is an arithmetic number, because the mean of its divisors is an integer number (40087530).
Almost surely, 22221012220 is an apocalyptic number.
2221012220 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 2221012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886302160).
2221012220 is an abundant number, since it is smaller than the sum of its proper divisors (3551592100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221012220 is a wasteful number, since it uses less digits than its factorization.
2221012220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 2221012220 is about 47127.6163199456. The cubic root of 2221012220 is about 1304.7189874610.
Adding to 2221012220 its reverse (222101222), we get a palindrome (2443113442).
The spelling of 2221012220 in words is "two billion, two hundred twenty-one million, twelve thousand, two hundred twenty".
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