Base | Representation |
---|---|
bin | 111110101001101… |
… | …0110000101110110 |
3 | 12102111201000010100 |
4 | 1331103112011312 |
5 | 13301132120342 |
6 | 544333534530 |
7 | 103044413451 |
oct | 17523260566 |
9 | 5374630110 |
10 | 2102223222 |
11 | 989717470 |
12 | 4a8044446 |
13 | 2766b8a88 |
14 | 15d2a8498 |
15 | c4855e4c |
hex | 7d4d6176 |
2102223222 has 96 divisors (see below), whose sum is σ = 5093622144. Its totient is φ = 621244800.
The previous prime is 2102223203. The next prime is 2102223229. The reversal of 2102223222 is 2223222012.
It is a super-3 number, since 3×21022232223 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2102223195 and 2102223204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102223229) 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, 1418722 + ... + 1420202.
It is an arithmetic number, because the mean of its divisors is an integer number (53058564).
Almost surely, 22102223222 is an apocalyptic number.
2102223222 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 2102223222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546811072).
2102223222 is an abundant number, since it is smaller than the sum of its proper divisors (2991398922).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102223222 is a wasteful number, since it uses less digits than its factorization.
2102223222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1674 (or 1671 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2102223222 is about 45850.0078734999. The cubic root of 2102223222 is about 1281.0309122373.
Adding to 2102223222 its reverse (2223222012), we get a palindrome (4325445234).
It can be divided in two parts, 210222 and 3222, that added together give a square (213444 = 4622).
The spelling of 2102223222 in words is "two billion, one hundred two million, two hundred twenty-three thousand, two hundred twenty-two".
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