| Base | Representation |
|---|---|
| bin | 1000011010001110… |
| … | …1001111100000000 |
| 3 | 12211022212120021000 |
| 4 | 2012203221330000 |
| 5 | 14110404300020 |
| 6 | 1012001532000 |
| 7 | 106641244314 |
| oct | 20643517400 |
| 9 | 5738776230 |
| 10 | 2257493760 |
| 11 | a59329525 |
| 12 | 530044000 |
| 13 | 29c911932 |
| 14 | 175b65b44 |
| 15 | d32c7090 |
| hex | 868e9f00 |
2257493760 has 288 divisors, whose sum is σ = 8117786880. Its totient is φ = 593989632.
The previous prime is 2257493753. The next prime is 2257493761. The reversal of 2257493760 is 673947522.
2257493760 is a `hidden beast` number, since 2 + 2 + 574 + 9 + 3 + 76 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2257493761) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2868087 + ... + 2868873.
It is an arithmetic number, because the mean of its divisors is an integer number (28186760).
Almost surely, 22257493760 is an apocalyptic number.
2257493760 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 2257493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058893440).
2257493760 is an abundant number, since it is smaller than the sum of its proper divisors (5860293120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2257493760 is an equidigital number, since it uses as much as digits as its factorization.
2257493760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 900 (or 880 counting only the distinct ones).
The product of its (nonzero) digits is 635040, while the sum is 45.
The square root of 2257493760 is about 47513.0904067500. The cubic root of 2257493760 is about 1311.8238411117.
The spelling of 2257493760 in words is "two billion, two hundred fifty-seven million, four hundred ninety-three thousand, seven hundred sixty".
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