| Base | Representation |
|---|---|
| bin | 1000010110010111… |
| … | …1000011010000100 |
| 3 | 12210012101211201211 |
| 4 | 2011211320122010 |
| 5 | 14042233100400 |
| 6 | 1010222501204 |
| 7 | 106353510424 |
| oct | 20545703204 |
| 9 | 5705354654 |
| 10 | 2241300100 |
| 11 | a50178a36 |
| 12 | 526734804 |
| 13 | 299461ba0 |
| 14 | 17394c484 |
| 15 | d1b78dba |
| hex | 85978684 |
2241300100 has 72 divisors (see below), whose sum is σ = 5245957640. Its totient is φ = 826260480.
The previous prime is 2241300007. The next prime is 2241300101. The reversal of 2241300100 is 10031422.
It can be written as a sum of positive squares in 12 ways, for example, as 362597764 + 1878702336 = 19042^2 + 43344^2 .
It is a super-2 number, since 2×22413001002 = 10046852276520020000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (2241300101) 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, 1342066 + ... + 1343734.
Almost surely, 22241300100 is an apocalyptic number.
2241300100 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 2241300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622978820).
2241300100 is an abundant number, since it is smaller than the sum of its proper divisors (3004657540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241300100 is a wasteful number, since it uses less digits than its factorization.
2241300100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2729 (or 2722 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 2241300100 is about 47342.3710855297. The cubic root of 2241300100 is about 1308.6796128144.
Adding to 2241300100 its reverse (10031422), we get a palindrome (2251331522).
The spelling of 2241300100 in words is "two billion, two hundred forty-one million, three hundred thousand, one hundred".
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