Base | Representation |
---|---|
bin | 1000001111111101… |
… | …1011110001000100 |
3 | 12201022212102020011 |
4 | 2003333123301010 |
5 | 14013344202400 |
6 | 1003423120004 |
7 | 105606315151 |
oct | 20377336104 |
9 | 5638772204 |
10 | 2214444100 |
11 | a36aa56a0 |
12 | 519743004 |
13 | 293a1ac6b |
14 | 17015b228 |
15 | ce6218ba |
hex | 83fdbc44 |
2214444100 has 72 divisors (see below), whose sum is σ = 5364219168. Its totient is φ = 786508800.
The previous prime is 2214444083. The next prime is 2214444107. The reversal of 2214444100 is 14444122.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (2214444107) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 23892 + ... + 70708.
It is an arithmetic number, because the mean of its divisors is an integer number (74503044).
Almost surely, 22214444100 is an apocalyptic number.
2214444100 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 2214444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682109584).
2214444100 is an abundant number, since it is smaller than the sum of its proper divisors (3149775068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2214444100 is a wasteful number, since it uses less digits than its factorization.
2214444100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46885 (or 46878 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 22.
The square root of 2214444100 is about 47057.8803177534. The cubic root of 2214444100 is about 1303.4315846303.
Adding to 2214444100 its sum of digits (22), we get a palindrome (2214444122).
Adding to 2214444100 its reverse (14444122), we get a palindrome (2228888222).
The spelling of 2214444100 in words is "two billion, two hundred fourteen million, four hundred forty-four thousand, one hundred".
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