Base | Representation |
---|---|
bin | 1000010001100011… |
… | …1010001010101110 |
3 | 12201210102200220000 |
4 | 2010120322022232 |
5 | 14022101402342 |
6 | 1004222205130 |
7 | 106020140664 |
oct | 20430721256 |
9 | 5653380800 |
10 | 2221122222 |
11 | a3a847000 |
12 | 51ba237a6 |
13 | 295218807 |
14 | 170db8c34 |
15 | ceee044c |
hex | 8463a2ae |
2221122222 has 80 divisors (see below), whose sum is σ = 5474812464. Its totient is φ = 673002000.
The previous prime is 2221122187. The next prime is 2221122229. The reversal of 2221122222 is 2222211222.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 2221122195 and 2221122204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2221122229) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210472 + ... + 220772.
Almost surely, 22221122222 is an apocalyptic number.
2221122222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2221122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737406232).
2221122222 is an abundant number, since it is smaller than the sum of its proper divisors (3253690242).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221122222 is a wasteful number, since it uses less digits than its factorization.
2221122222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10348 (or 10317 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 2221122222 is about 47128.7833706749. The cubic root of 2221122222 is about 1304.7405270886.
Adding to 2221122222 its reverse (2222211222), we get a palindrome (4443333444).
It can be divided in two parts, 22211222 and 22, that multiplied together give a palindrome (488646884).
The spelling of 2221122222 in words is "two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-two".
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