| Base | Representation |
|---|---|
| bin | 1101001001111110011… |
| … | …1001010110100000000 |
| 3 | 210121101110020202201000 |
| 4 | 3102133213022310000 |
| 5 | 12200340113112030 |
| 6 | 251455210212000 |
| 7 | 22220614350126 |
| oct | 3223747126400 |
| 9 | 717343222630 |
| 10 | 226016144640 |
| 11 | 87942248790 |
| 12 | 37978424000 |
| 13 | 1840c2261c0 |
| 14 | ad213b9916 |
| 15 | 5d2c466860 |
| hex | 349f9cad00 |
226016144640 has 2304 divisors, whose sum is σ = 1038417408000. Its totient is φ = 45705461760.
The previous prime is 226016144633. The next prime is 226016144647. The reversal of 226016144640 is 46441610622.
226016144640 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 1 + 6 + 1 + 4 + 4 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (226016144633) and next prime (226016144647).
It is a tau number, because it is divible by the number of its divisors (2304).
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 = 226016144595 and 226016144604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (226016144647) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2723086039 + ... + 2723086121.
It is an arithmetic number, because the mean of its divisors is an integer number (450702000).
Almost surely, 2226016144640 is an apocalyptic number.
226016144640 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 226016144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519208704000).
226016144640 is an abundant number, since it is smaller than the sum of its proper divisors (812401263360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
226016144640 is a wasteful number, since it uses less digits than its factorization.
226016144640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 185 (or 165 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 226016144640 in words is "two hundred twenty-six billion, sixteen million, one hundred forty-four thousand, six hundred forty".
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