Base | Representation |
---|---|
bin | 1000010100101110… |
… | …0111010001010000 |
3 | 12202201110000000000 |
4 | 2011023213101100 |
5 | 14034002223120 |
6 | 1005415130000 |
7 | 106241130666 |
oct | 20513472120 |
9 | 5681400000 |
10 | 2234414160 |
11 | a472a5480 |
12 | 524373900 |
13 | 297bc0874 |
14 | 172a78c36 |
15 | d1268990 |
hex | 852e7450 |
2234414160 has 440 divisors, whose sum is σ = 8698577184. Its totient is φ = 529079040.
The previous prime is 2234414141. The next prime is 2234414167. The reversal of 2234414160 is 614144322.
It is a happy number.
2234414160 is a `hidden beast` number, since 2 + 234 + 414 + 16 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (440).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2234414167) 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 87 ways as a sum of consecutive naturals, for example, 51963099 + ... + 51963141.
Almost surely, 22234414160 is an apocalyptic number.
2234414160 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 2234414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349288592).
2234414160 is an abundant number, since it is smaller than the sum of its proper divisors (6464163024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234414160 is an equidigital number, since it uses as much as digits as its factorization.
2234414160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 2234414160 is about 47269.5902245831. The cubic root of 2234414160 is about 1307.3380203855.
Adding to 2234414160 its reverse (614144322), we get a palindrome (2848558482).
The spelling of 2234414160 in words is "two billion, two hundred thirty-four million, four hundred fourteen thousand, one hundred sixty".
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