Base | Representation |
---|---|
bin | 11001001011100… |
… | …00001001010100 |
3 | 112201110020122200 |
4 | 30211300021110 |
5 | 413033114444 |
6 | 32543124500 |
7 | 5143236600 |
oct | 1445601124 |
9 | 481406580 |
10 | 211223124 |
11 | a9259072 |
12 | 5a8a3730 |
13 | 349b67c8 |
14 | 200a4500 |
15 | 13824969 |
hex | c970254 |
211223124 has 108 divisors (see below), whose sum is σ = 642669300. Its totient is φ = 58254336.
The previous prime is 211223087. The next prime is 211223137. The reversal of 211223124 is 421322112.
It is a happy number.
211223124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 97416900 = 10668^2 + 9870^2 .
It is a super-2 number, since 2×2112231242 = 89230416224638752, which contains 22 as substring.
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 junction number, because it is equal to n+sod(n) for n = 211223097 and 211223106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49092 + ... + 53220.
Almost surely, 2211223124 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321334650).
211223124 is an abundant number, since it is smaller than the sum of its proper divisors (431446176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211223124 is a wasteful number, since it uses less digits than its factorization.
211223124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4182 (or 4170 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 211223124 is about 14533.5172618331. The cubic root of 211223124 is about 595.5439546937.
Adding to 211223124 its reverse (421322112), we get a palindrome (632545236).
The spelling of 211223124 in words is "two hundred eleven million, two hundred twenty-three thousand, one hundred twenty-four".
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