Base | Representation |
---|---|
bin | 11010010111101… |
… | …00001011011000 |
3 | 120102020011212210 |
4 | 31023310023120 |
5 | 423111413422 |
6 | 33541035120 |
7 | 5324115126 |
oct | 1513641330 |
9 | 512204783 |
10 | 221201112 |
11 | 103953740 |
12 | 620b5aa0 |
13 | 36a9b342 |
14 | 21540916 |
15 | 1464610c |
hex | d2f42d8 |
221201112 has 64 divisors (see below), whose sum is σ = 608889600. Its totient is φ = 66407040.
The previous prime is 221201083. The next prime is 221201117. The reversal of 221201112 is 211102122.
221201112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221201117) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24933 + ... + 32619.
It is an arithmetic number, because the mean of its divisors is an integer number (9513900).
Almost surely, 2221201112 is an apocalyptic number.
221201112 is a gapful number since it is divisible by the number (22) 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 221201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).
221201112 is an abundant number, since it is smaller than the sum of its proper divisors (387688488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221201112 is a wasteful number, since it uses less digits than its factorization.
221201112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7816 (or 7812 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 221201112 is about 14872.8313377111. The cubic root of 221201112 is about 604.7776994451. Note that the first 3 decimals are identical.
Adding to 221201112 its reverse (211102122), we get a palindrome (432303234).
It can be divided in two parts, 22120 and 1112, that added together give a palindrome (23232).
The spelling of 221201112 in words is "two hundred twenty-one million, two hundred one thousand, one hundred twelve".
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