Base | Representation |
---|---|
bin | 1000010011111010… |
… | …0101110000110000 |
3 | 12202111000112210210 |
4 | 2010332211300300 |
5 | 14032114000422 |
6 | 1005214024120 |
7 | 106200121335 |
oct | 20476456060 |
9 | 5674015723 |
10 | 2231000112 |
11 | a45383450 |
12 | 5231a8040 |
13 | 297296913 |
14 | 17242a98c |
15 | d0ce210c |
hex | 84fa5c30 |
2231000112 has 80 divisors (see below), whose sum is σ = 6303346560. Its totient is φ = 674342400.
The previous prime is 2231000111. The next prime is 2231000173. The reversal of 2231000112 is 2110001322.
It is a super-3 number, since 3×22310001123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (2231000111) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210787 + ... + 221117.
It is an arithmetic number, because the mean of its divisors is an integer number (78791832).
Almost surely, 22231000112 is an apocalyptic number.
2231000112 is a gapful number since it is divisible by the number (22) 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 2231000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151673280).
2231000112 is an abundant number, since it is smaller than the sum of its proper divisors (4072346448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231000112 is a wasteful number, since it uses less digits than its factorization.
2231000112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10762 (or 10756 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 2231000112 is about 47233.4639000783. The cubic root of 2231000112 is about 1306.6718368299.
Adding to 2231000112 its reverse (2110001322), we get a palindrome (4341001434).
The spelling of 2231000112 in words is "two billion, two hundred thirty-one million, one hundred twelve", and thus it is an aban number.
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