| Base | Representation |
|---|---|
| bin | 1000010110010100… |
| … | …0100000000000000 |
| 3 | 12210011222221021110 |
| 4 | 2011211010000000 |
| 5 | 14042204213230 |
| 6 | 1010214123320 |
| 7 | 106351624536 |
| oct | 20545040000 |
| 9 | 5704887243 |
| 10 | 2241085440 |
| 11 | a50041730 |
| 12 | 526650540 |
| 13 | 2993b8279 |
| 14 | 1738d4156 |
| 15 | d1b354b0 |
| hex | 85944000 |
2241085440 has 240 divisors, whose sum is σ = 7832623680. Its totient is φ = 542638080.
The previous prime is 2241085411. The next prime is 2241085487. The reversal of 2241085440 is 445801422.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 2241085398 and 2241085407.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702946 + ... + 2703774.
It is an arithmetic number, because the mean of its divisors is an integer number (32635932).
Almost surely, 22241085440 is an apocalyptic number.
2241085440 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 2241085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916311840).
2241085440 is an abundant number, since it is smaller than the sum of its proper divisors (5591538240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241085440 is an equidigital number, since it uses as much as digits as its factorization.
2241085440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 876 (or 850 counting only the distinct ones).
The product of its (nonzero) digits is 10240, while the sum is 30.
The square root of 2241085440 is about 47340.1039289100. The cubic root of 2241085440 is about 1308.6378319845.
Adding to 2241085440 its reverse (445801422), we get a palindrome (2686886862).
The spelling of 2241085440 in words is "two billion, two hundred forty-one million, eighty-five thousand, four hundred forty".
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