| Base | Representation |
|---|---|
| bin | 11010010111110… |
| … | …11100000100100 |
| 3 | 120102021201001221 |
| 4 | 31023323200210 |
| 5 | 423113344030 |
| 6 | 33541430124 |
| 7 | 5324301514 |
| oct | 1513734044 |
| 9 | 512251057 |
| 10 | 221231140 |
| 11 | 103974259 |
| 12 | 6210b344 |
| 13 | 36aabc00 |
| 14 | 2154b844 |
| 15 | 1464ee7a |
| hex | d2fb824 |
221231140 has 144 divisors (see below), whose sum is σ = 543246480. Its totient is φ = 75479040.
The previous prime is 221231137. The next prime is 221231191. The reversal of 221231140 is 41132122.
221231140 = 802 + 812 + ... + 8722.
221231140 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 can be written as a sum of positive squares in 24 ways, for example, as 206439424 + 14791716 = 14368^2 + 3846^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3626710 + ... + 3626770.
It is an arithmetic number, because the mean of its divisors is an integer number (3772545).
Almost surely, 2221231140 is an apocalyptic number.
221231140 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 221231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271623240).
221231140 is an abundant number, since it is smaller than the sum of its proper divisors (322015340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221231140 is a wasteful number, since it uses less digits than its factorization.
221231140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 221231140 is about 14873.8407951679. The cubic root of 221231140 is about 604.8050643513.
Adding to 221231140 its reverse (41132122), we get a palindrome (262363262).
It can be divided in two parts, 221 and 231140, that added together give a square (231361 = 4812).
The spelling of 221231140 in words is "two hundred twenty-one million, two hundred thirty-one thousand, one hundred forty".
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