Base | Representation |
---|---|
bin | 1000010100101110… |
… | …0100001010100000 |
3 | 12202201102100112220 |
4 | 2011023210022200 |
5 | 14034001321230 |
6 | 1005414551040 |
7 | 106241045625 |
oct | 20513441240 |
9 | 5681370486 |
10 | 2234401440 |
11 | a47296967 |
12 | 524368480 |
13 | 297bb7b3b |
14 | 172a7434c |
15 | d1264d10 |
hex | 852e42a0 |
2234401440 has 96 divisors (see below), whose sum is σ = 7068176640. Its totient is φ = 593316864.
The previous prime is 2234401439. The next prime is 2234401457. The reversal of 2234401440 is 441044322.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 2234401440.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 104982 + ... + 124458.
It is an arithmetic number, because the mean of its divisors is an integer number (73626840).
Almost surely, 22234401440 is an apocalyptic number.
2234401440 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 2234401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534088320).
2234401440 is an abundant number, since it is smaller than the sum of its proper divisors (4833775200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234401440 is a wasteful number, since it uses less digits than its factorization.
2234401440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19734 (or 19726 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 2234401440 is about 47269.4556770014. The cubic root of 2234401440 is about 1307.3355395904.
Adding to 2234401440 its reverse (441044322), we get a palindrome (2675445762).
The spelling of 2234401440 in words is "two billion, two hundred thirty-four million, four hundred one thousand, four hundred forty".
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