| Base | Representation |
|---|---|
| bin | 1000011001111010… |
| … | …0001000011010000 |
| 3 | 12211020100010100200 |
| 4 | 2012132201003100 |
| 5 | 14110033143030 |
| 6 | 1011513015200 |
| 7 | 106623633666 |
| oct | 20636410320 |
| 9 | 5736303320 |
| 10 | 2256146640 |
| 11 | a58599400 |
| 12 | 52b6b4500 |
| 13 | 29c55c717 |
| 14 | 1758d4c36 |
| 15 | d310cd60 |
| hex | 867a10d0 |
2256146640 has 720 divisors, whose sum is σ = 9261907200. Its totient is φ = 489646080.
The previous prime is 2256146639. The next prime is 2256146657. The reversal of 2256146640 is 466416522.
2256146640 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 4 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×22561466402 = 10180395322366579200, which contains 22 as substring.
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 = 2256146595 and 2256146604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48003097 + ... + 48003143.
It is an arithmetic number, because the mean of its divisors is an integer number (12863760).
Almost surely, 22256146640 is an apocalyptic number.
2256146640 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 2256146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630953600).
2256146640 is an abundant number, since it is smaller than the sum of its proper divisors (7005760560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2256146640 is a wasteful number, since it uses less digits than its factorization.
2256146640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136 (or 116 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 2256146640 is about 47498.9119875393. The cubic root of 2256146640 is about 1311.5628531977.
The spelling of 2256146640 in words is "two billion, two hundred fifty-six million, one hundred forty-six thousand, six hundred forty".
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