Base | Representation |
---|---|
bin | 11001100010001… |
… | …11001100010000 |
3 | 112221001112200020 |
4 | 30301013030100 |
5 | 414313413404 |
6 | 33131023440 |
7 | 5210452005 |
oct | 1461071420 |
9 | 487045606 |
10 | 214201104 |
11 | aaa02507 |
12 | 5b89ab80 |
13 | 354ba120 |
14 | 2063b8ac |
15 | 13c11ed9 |
hex | cc47310 |
214201104 has 80 divisors (see below), whose sum is σ = 598920000. Its totient is φ = 65576448.
The previous prime is 214201087. The next prime is 214201109. The reversal of 214201104 is 401102412.
214201104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2142011042 = 91764225909637632, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (214201109) by changing a digit.
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, 142147 + ... + 143645.
It is an arithmetic number, because the mean of its divisors is an integer number (7486500).
Almost surely, 2214201104 is an apocalyptic number.
214201104 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 214201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299460000).
214201104 is an abundant number, since it is smaller than the sum of its proper divisors (384718896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214201104 is a wasteful number, since it uses less digits than its factorization.
214201104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 214201104 is about 14635.6108174548. The cubic root of 214201104 is about 598.3297100896.
Adding to 214201104 its reverse (401102412), we get a palindrome (615303516).
The spelling of 214201104 in words is "two hundred fourteen million, two hundred one thousand, one hundred four".
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