| Base | Representation |
|---|---|
| bin | 100001001101001… |
| … | …1010100111100000 |
| 3 | 2212122121021220100 |
| 4 | 1002122122213200 |
| 5 | 4240220033044 |
| 6 | 302321342400 |
| 7 | 36416502540 |
| oct | 10232324740 |
| 9 | 2778537810 |
| 10 | 1114221024 |
| 11 | 521a48824 |
| 12 | 271197a00 |
| 13 | 149abc8a7 |
| 14 | a7da1320 |
| 15 | 67c44869 |
| hex | 4269a9e0 |
1114221024 has 144 divisors (see below), whose sum is σ = 3649726080. Its totient is φ = 315843840.
The previous prime is 1114221023. The next prime is 1114221041. The reversal of 1114221024 is 4201224111.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1114220988 and 1114221006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1114221023) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 261987 + ... + 266205.
It is an arithmetic number, because the mean of its divisors is an integer number (25345320).
Almost surely, 21114221024 is an apocalyptic number.
1114221024 is a gapful number since it is divisible by the number (14) 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 1114221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824863040).
1114221024 is an abundant number, since it is smaller than the sum of its proper divisors (2535505056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1114221024 is a wasteful number, since it uses less digits than its factorization.
1114221024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4373 (or 4362 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 1114221024 is about 33379.9494307586. The cubic root of 1114221024 is about 1036.7095907391.
Adding to 1114221024 its reverse (4201224111), we get a palindrome (5315445135).
The spelling of 1114221024 in words is "one billion, one hundred fourteen million, two hundred twenty-one thousand, twenty-four".
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