Base | Representation |
---|---|
bin | 111111111000000… |
… | …1010111001110000 |
3 | 12112101001122111202 |
4 | 1333300022321300 |
5 | 13342143142000 |
6 | 552403030332 |
7 | 104054016113 |
oct | 17760127160 |
9 | 5471048452 |
10 | 2143334000 |
11 | 9aa946615 |
12 | 4b996b3a8 |
13 | 282081092 |
14 | 16492a57a |
15 | c8276dd5 |
hex | 7fc0ae70 |
2143334000 has 80 divisors (see below), whose sum is σ = 5206514976. Its totient is φ = 853376000.
The previous prime is 2143333993. The next prime is 2143334021. The reversal of 2143334000 is 4333412.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451640 + ... + 456360.
Almost surely, 22143334000 is an apocalyptic number.
2143334000 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 2143334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603257488).
2143334000 is an abundant number, since it is smaller than the sum of its proper divisors (3063180976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2143334000 is a wasteful number, since it uses less digits than its factorization.
2143334000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4971 (or 4955 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 2143334000 is about 46296.1553479336. The cubic root of 2143334000 is about 1289.3276146604.
Adding to 2143334000 its reverse (4333412), we get a palindrome (2147667412).
The spelling of 2143334000 in words is "two billion, one hundred forty-three million, three hundred thirty-four thousand".
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