Base | Representation |
---|---|
bin | 11010011110011… |
… | …11111000001000 |
3 | 120110220220021222 |
4 | 31033033320020 |
5 | 423324213000 |
6 | 34012221212 |
7 | 5334553532 |
oct | 1517177010 |
9 | 513826258 |
10 | 222101000 |
11 | 104408850 |
12 | 6246a808 |
13 | 37024b14 |
14 | 216d6852 |
15 | 14772a85 |
hex | d3cfe08 |
222101000 has 128 divisors (see below), whose sum is σ = 577998720. Its totient is φ = 79200000.
The previous prime is 222100999. The next prime is 222101003. The reversal of 222101000 is 101222.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is not an unprimeable number, because it can be changed into a prime (222101003) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670835 + ... + 671165.
It is an arithmetic number, because the mean of its divisors is an integer number (4515615).
Almost surely, 2222101000 is an apocalyptic number.
222101000 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 222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288999360).
222101000 is an abundant number, since it is smaller than the sum of its proper divisors (355897720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222101000 is a wasteful number, since it uses less digits than its factorization.
222101000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 424 (or 410 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 222101000 is about 14903.0533784188. The cubic root of 222101000 is about 605.5967065464.
Adding to 222101000 its reverse (101222), we get a palindrome (222202222).
The spelling of 222101000 in words is "two hundred twenty-two million, one hundred one thousand".
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