Base | Representation |
---|---|
bin | 1000100100100110… |
… | …1101011110010000 |
3 | 12221100210010201110 |
4 | 2021021231132100 |
5 | 14203030233034 |
6 | 1020154533320 |
7 | 111010245126 |
oct | 21111553620 |
9 | 5840703643 |
10 | 2301024144 |
11 | a80960551 |
12 | 542737240 |
13 | 2a8943363 |
14 | 17b857916 |
15 | d7024de9 |
hex | 8926d790 |
2301024144 has 80 divisors (see below), whose sum is σ = 6226458624. Its totient is φ = 730857600.
The previous prime is 2301024139. The next prime is 2301024149. The reversal of 2301024144 is 4414201032.
It is an interprime number because it is at equal distance from previous prime (2301024139) and next prime (2301024149).
It is a super-2 number, since 2×23010241442 = 10589424222541865472, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2301024144.
It is not an unprimeable number, because it can be changed into a prime (2301024149) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295339 + ... + 303029.
Almost surely, 22301024144 is an apocalyptic number.
2301024144 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 2301024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113229312).
2301024144 is an abundant number, since it is smaller than the sum of its proper divisors (3925434480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2301024144 is a wasteful number, since it uses less digits than its factorization.
2301024144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7996 (or 7990 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 2301024144 is about 47968.9914840827. The cubic root of 2301024144 is about 1320.2020168314.
Adding to 2301024144 its reverse (4414201032), we get a palindrome (6715225176).
The spelling of 2301024144 in words is "two billion, three hundred one million, twenty-four thousand, one hundred forty-four".
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