Base | Representation |
---|---|
bin | 1000100101101101… |
… | …0110110111100000 |
3 | 12221200111011101210 |
4 | 2021123112313200 |
5 | 14210221301034 |
6 | 1020442030120 |
7 | 111064463040 |
oct | 21133266740 |
9 | 5850434353 |
10 | 2305650144 |
11 | a83530096 |
12 | 5441a8340 |
13 | 2a98a2b35 |
14 | 17c2dd720 |
15 | d763a8e9 |
hex | 896d6de0 |
2305650144 has 96 divisors (see below), whose sum is σ = 7034307840. Its totient is φ = 647580672.
The previous prime is 2305650121. The next prime is 2305650167. The reversal of 2305650144 is 4410565032.
2305650144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2305650121) and next prime (2305650167).
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10572 + ... + 68724.
It is an arithmetic number, because the mean of its divisors is an integer number (73274040).
Almost surely, 22305650144 is an apocalyptic number.
2305650144 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 2305650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517153920).
2305650144 is an abundant number, since it is smaller than the sum of its proper divisors (4728657696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2305650144 is a wasteful number, since it uses less digits than its factorization.
2305650144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58232 (or 58224 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 30.
The square root of 2305650144 is about 48017.1859233754. The cubic root of 2305650144 is about 1321.0861400188.
The spelling of 2305650144 in words is "two billion, three hundred five million, six hundred fifty thousand, one hundred forty-four".
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