Base | Representation |
---|---|
bin | 1000010100101010… |
… | …0000011101110000 |
3 | 12202200220021011200 |
4 | 2011022200131300 |
5 | 14033413433034 |
6 | 1005405011200 |
7 | 106235512320 |
oct | 20512403560 |
9 | 5680807150 |
10 | 2234124144 |
11 | a4711759a |
12 | 524253b00 |
13 | 297b1b865 |
14 | 172a01280 |
15 | d120ca99 |
hex | 852a0770 |
2234124144 has 120 divisors (see below), whose sum is σ = 7155732480. Its totient is φ = 637421184.
The previous prime is 2234124107. The next prime is 2234124161. The reversal of 2234124144 is 4414214322.
2234124144 is a `hidden beast` number, since 2 + 234 + 12 + 414 + 4 = 666.
It is a super-3 number, since 3×22341241443 (a number of 29 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
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, 1094677 + ... + 1096715.
It is an arithmetic number, because the mean of its divisors is an integer number (59631104).
Almost surely, 22234124144 is an apocalyptic number.
2234124144 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 2234124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577866240).
2234124144 is an abundant number, since it is smaller than the sum of its proper divisors (4921608336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234124144 is a wasteful number, since it uses less digits than its factorization.
2234124144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3147 (or 3138 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 2234124144 is about 47266.5224445378. The cubic root of 2234124144 is about 1307.2814559170.
Adding to 2234124144 its reverse (4414214322), we get a palindrome (6648338466).
The spelling of 2234124144 in words is "two billion, two hundred thirty-four million, one hundred twenty-four thousand, one hundred forty-four".
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