| Base | Representation |
|---|---|
| bin | 1000011010111101… |
| … | …1000000010000000 |
| 3 | 12211112122122210000 |
| 4 | 2012233120002000 |
| 5 | 14112201104034 |
| 6 | 1012151440000 |
| 7 | 110006331564 |
| oct | 20657300200 |
| 9 | 5745578700 |
| 10 | 2260566144 |
| 11 | a60037891 |
| 12 | 531086000 |
| 13 | 2a0449205 |
| 14 | 1763256a4 |
| 15 | d36d2599 |
| hex | 86bd8080 |
2260566144 has 160 divisors (see below), whose sum is σ = 6872025600. Its totient is φ = 737330688.
The previous prime is 2260566137. The next prime is 2260566149. The reversal of 2260566144 is 4416650622.
2260566144 is a `hidden beast` number, since 2 + 2 + 605 + 6 + 6 + 1 + 44 = 666.
It is a super-2 number, since 2×22605661442 = 10220318582798057472, 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 = 2260566099 and 2260566108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2260566149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 484977 + ... + 489615.
It is an arithmetic number, because the mean of its divisors is an integer number (42950160).
Almost surely, 22260566144 is an apocalyptic number.
2260566144 is a gapful number since it is divisible by the number (24) 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 2260566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436012800).
2260566144 is an abundant number, since it is smaller than the sum of its proper divisors (4611459456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2260566144 is an equidigital number, since it uses as much as digits as its factorization.
2260566144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4712 (or 4691 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 2260566144 is about 47545.4113874304. The cubic root of 2260566144 is about 1312.4186894935.
The spelling of 2260566144 in words is "two billion, two hundred sixty million, five hundred sixty-six thousand, one hundred forty-four".
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