| Base | Representation |
|---|---|
| bin | 1000100001100101… |
| … | …0011010110100000 |
| 3 | 12220110220102110000 |
| 4 | 2020121103112200 |
| 5 | 14141303143430 |
| 6 | 1015022540000 |
| 7 | 110464343253 |
| oct | 21031232640 |
| 9 | 5813812400 |
| 10 | 2288334240 |
| 11 | a74783425 |
| 12 | 53a437600 |
| 13 | 2a611c33a |
| 14 | 179cb309a |
| 15 | d5d69e60 |
| hex | 886535a0 |
2288334240 has 240 divisors, whose sum is σ = 8115933672. Its totient is φ = 607205376.
The previous prime is 2288334187. The next prime is 2288334247. The reversal of 2288334240 is 424338822.
It is a happy number.
2288334240 is a `hidden beast` number, since 2 + 2 + 88 + 334 + 240 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 711608976 + 1576725264 = 26676^2 + 39708^2 .
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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 2288334195 and 2288334204.
It is not an unprimeable number, because it can be changed into a prime (2288334247) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4108042 + ... + 4108598.
Almost surely, 22288334240 is an apocalyptic number.
2288334240 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 2288334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057966836).
2288334240 is an abundant number, since it is smaller than the sum of its proper divisors (5827599432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2288334240 is a wasteful number, since it uses less digits than its factorization.
2288334240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 901 (or 884 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 36.
The square root of 2288334240 is about 47836.5366639350. The cubic root of 2288334240 is about 1317.7706170211.
The spelling of 2288334240 in words is "two billion, two hundred eighty-eight million, three hundred thirty-four thousand, two hundred forty".
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