Base | Representation |
---|---|
bin | 11010100110111… |
… | …10111000001100 |
3 | 120120000021221211 |
4 | 31103132320030 |
5 | 424120223040 |
6 | 34052104204 |
7 | 5350155664 |
oct | 1523367014 |
9 | 516007854 |
10 | 223211020 |
11 | 104aa681a |
12 | 62905064 |
13 | 37323136 |
14 | 219051a4 |
15 | 148e18ea |
hex | d4dee0c |
223211020 has 48 divisors (see below), whose sum is σ = 497575008. Its totient is φ = 83819520.
The previous prime is 223210957. The next prime is 223211063. The reversal of 223211020 is 20112322.
223211020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2232110203 (a number of 26 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218110 + ... + 219130.
It is an arithmetic number, because the mean of its divisors is an integer number (10366146).
Almost surely, 2223211020 is an apocalyptic number.
223211020 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 223211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248787504).
223211020 is an abundant number, since it is smaller than the sum of its proper divisors (274363988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223211020 is a wasteful number, since it uses less digits than its factorization.
223211020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1690 (or 1688 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 223211020 is about 14940.2483245761. The cubic root of 223211020 is about 606.6039174858.
Adding to 223211020 its reverse (20112322), we get a palindrome (243323342).
The spelling of 223211020 in words is "two hundred twenty-three million, two hundred eleven thousand, twenty".
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