Base | Representation |
---|---|
bin | 11010010110111… |
… | …10101111110100 |
3 | 120102001201110200 |
4 | 31023132233310 |
5 | 423101111312 |
6 | 33535120500 |
7 | 5323301166 |
oct | 1513365764 |
9 | 512051420 |
10 | 221113332 |
11 | 1038a37a0 |
12 | 62073130 |
13 | 36a6a3bb |
14 | 2151a936 |
15 | 1462a0dc |
hex | d2debf4 |
221113332 has 72 divisors (see below), whose sum is σ = 626257632. Its totient is φ = 65188800.
The previous prime is 221113331. The next prime is 221113363. The reversal of 221113332 is 233311122.
221113332 is a `hidden beast` number, since 221 + 113 + 332 = 666.
It is a super-2 number, since 2×2211133322 = 97782211176284448, 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (221113331) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7107 + ... + 22197.
Almost surely, 2221113332 is an apocalyptic number.
221113332 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 221113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313128816).
221113332 is an abundant number, since it is smaller than the sum of its proper divisors (405144300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221113332 is a wasteful number, since it uses less digits than its factorization.
221113332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15149 (or 15144 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 221113332 is about 14869.8800264158. The cubic root of 221113332 is about 604.6976901874.
Adding to 221113332 its reverse (233311122), we get a palindrome (454424454).
It can be divided in two parts, 221113 and 332, that added together give a triangular number (221445 = T665).
The spelling of 221113332 in words is "two hundred twenty-one million, one hundred thirteen thousand, three hundred thirty-two".
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