Base | Representation |
---|---|
bin | 1000010001110010… |
… | …10111001100010000 |
3 | 102110201120212210010 |
4 | 10020321113030100 |
5 | 33100210102344 |
6 | 2012555034520 |
7 | 215063160051 |
oct | 41071271420 |
9 | 12421525703 |
10 | 4444222224 |
11 | 1980713a32 |
12 | a4043ba40 |
13 | 55a9775c0 |
14 | 30234a728 |
15 | 1b02718b9 |
hex | 108e57310 |
4444222224 has 160 divisors (see below), whose sum is σ = 12732185088. Its totient is φ = 1327104000.
The previous prime is 4444222213. The next prime is 4444222249. The reversal of 4444222224 is 4222224444.
It is a happy number.
It is a Cunningham number, because it is equal to 666652-1.
It is a super-3 number, since 3×44442222243 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 4444222191 and 4444222200.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 6932944 + ... + 6933584.
Almost surely, 24444222224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4444222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366092544).
4444222224 is an abundant number, since it is smaller than the sum of its proper divisors (8287962864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444222224 is a wasteful number, since it uses less digits than its factorization.
4444222224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 977 (or 971 counting only the distinct ones).
The product of its digits is 32768, while the sum is 30.
The square root of 4444222224 is about 66664.9999924998. Note that the first 5 decimals coincide. The cubic root of 4444222224 is about 1644.1139802931.
Adding to 4444222224 its reverse (4222224444), we get a palindrome (8666446668).
It can be divided in two parts, 44442 and 22224, that added together give a palindrome (66666).
The spelling of 4444222224 in words is "four billion, four hundred forty-four million, two hundred twenty-two thousand, two hundred twenty-four".
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