Base | Representation |
---|---|
bin | 1000010011111100… |
… | …1000001011101100 |
3 | 12202111021201012120 |
4 | 2010333020023230 |
5 | 14032133003400 |
6 | 1005221032540 |
7 | 106201246356 |
oct | 20477101354 |
9 | 5674251176 |
10 | 2231141100 |
11 | a4546a371 |
12 | 523255750 |
13 | 297315b46 |
14 | 1724660d6 |
15 | d0d1dca0 |
hex | 84fc82ec |
2231141100 has 144 divisors (see below), whose sum is σ = 6707383200. Its totient is φ = 571934720.
The previous prime is 2231141069. The next prime is 2231141113. The reversal of 2231141100 is 11411322.
It is a super-3 number, since 3×22311411003 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2231141100.
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, 2757496 + ... + 2758304.
It is an arithmetic number, because the mean of its divisors is an integer number (46579050).
Almost surely, 22231141100 is an apocalyptic number.
2231141100 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 2231141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353691600).
2231141100 is an abundant number, since it is smaller than the sum of its proper divisors (4476242100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231141100 is a wasteful number, since it uses less digits than its factorization.
2231141100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1172 (or 1165 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 2231141100 is about 47234.9563353244. The cubic root of 2231141100 is about 1306.6993612822.
Adding to 2231141100 its reverse (11411322), we get a palindrome (2242552422).
The spelling of 2231141100 in words is "two billion, two hundred thirty-one million, one hundred forty-one thousand, one hundred".
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