| Base | Representation |
|---|---|
| bin | 1000011101000000… |
| … | …0110110010000000 |
| 3 | 12212010210120110100 |
| 4 | 2013100012302000 |
| 5 | 14121400134430 |
| 6 | 1013055402400 |
| 7 | 110142265464 |
| oct | 20720066200 |
| 9 | 5763716410 |
| 10 | 2269146240 |
| 11 | a64968179 |
| 12 | 533b23400 |
| 13 | 2a21616aa |
| 14 | 17751a4a4 |
| 15 | d4329960 |
| hex | 87406c80 |
2269146240 has 192 divisors, whose sum is σ = 7984562040. Its totient is φ = 593608704.
The previous prime is 2269146223. The next prime is 2269146251. The reversal of 2269146240 is 426419622.
2269146240 is a `hidden beast` number, since 2 + 26 + 9 + 1 + 4 + 624 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1506060864 + 763085376 = 38808^2 + 27624^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×22691462402 = 10298049317012275200, 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 = 2269146195 and 2269146204.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301564 + ... + 308996.
Almost surely, 22269146240 is an apocalyptic number.
2269146240 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 2269146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992281020).
2269146240 is an abundant number, since it is smaller than the sum of its proper divisors (5715415800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2269146240 is a wasteful number, since it uses less digits than its factorization.
2269146240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7511 (or 7496 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 2269146240 is about 47635.5564678319. The cubic root of 2269146240 is about 1314.0770441957.
The spelling of 2269146240 in words is "two billion, two hundred sixty-nine million, one hundred forty-six thousand, two hundred forty".
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