Base | Representation |
---|---|
bin | 1000010111001000… |
… | …1111011011000100 |
3 | 12210102111110011211 |
4 | 2011302033123010 |
5 | 14044100240400 |
6 | 1010420141204 |
7 | 106423163455 |
oct | 20562173304 |
9 | 5712443154 |
10 | 2244540100 |
11 | a51a91220 |
12 | 527837804 |
13 | 29a02784a |
14 | 17415312c |
15 | d20b8dba |
hex | 85c8f6c4 |
2244540100 has 144 divisors (see below), whose sum is σ = 5619640320. Its totient is φ = 770140800.
The previous prime is 2244540097. The next prime is 2244540149. The reversal of 2244540100 is 10454422.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998139 + ... + 1999261.
It is an arithmetic number, because the mean of its divisors is an integer number (39025280).
Almost surely, 22244540100 is an apocalyptic number.
2244540100 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 2244540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809820160).
2244540100 is an abundant number, since it is smaller than the sum of its proper divisors (3375100220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2244540100 is a wasteful number, since it uses less digits than its factorization.
2244540100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1250 (or 1243 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 22.
The square root of 2244540100 is about 47376.5775462939. The cubic root of 2244540100 is about 1309.3099137167.
Adding to 2244540100 its reverse (10454422), we get a palindrome (2254994522).
The spelling of 2244540100 in words is "two billion, two hundred forty-four million, five hundred forty thousand, one hundred".
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