Base | Representation |
---|---|
bin | 111111001111110… |
… | …1000111001100010 |
3 | 12110220100002221100 |
4 | 1332133220321202 |
5 | 13321242120302 |
6 | 550330335230 |
7 | 103406412441 |
oct | 17637507142 |
9 | 5426302840 |
10 | 2122223202 |
11 | 999a37780 |
12 | 4b288a516 |
13 | 27a89c198 |
14 | 161bd2d58 |
15 | c64a6d1c |
hex | 7e7e8e62 |
2122223202 has 96 divisors (see below), whose sum is σ = 5509969920. Its totient is φ = 582737760.
The previous prime is 2122223197. The next prime is 2122223209. The reversal of 2122223202 is 2023222212.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2122223209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74263 + ... + 98789.
It is an arithmetic number, because the mean of its divisors is an integer number (57395520).
Almost surely, 22122223202 is an apocalyptic number.
2122223202 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 2122223202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754984960).
2122223202 is an abundant number, since it is smaller than the sum of its proper divisors (3387746718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122223202 is a wasteful number, since it uses less digits than its factorization.
2122223202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24588 (or 24585 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2122223202 is about 46067.5938377511. The cubic root of 2122223202 is about 1285.0805567549.
Adding to 2122223202 its reverse (2023222212), we get a palindrome (4145445414).
The spelling of 2122223202 in words is "two billion, one hundred twenty-two million, two hundred twenty-three thousand, two hundred two".
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