| Base | Representation |
|---|---|
| bin | 1101011000001… |
| … | …11000110000000 |
| 3 | 21211011201002000 |
| 4 | 12230013012000 |
| 5 | 212212223223 |
| 6 | 15045224000 |
| 7 | 2531624340 |
| oct | 654070600 |
| 9 | 254151060 |
| 10 | 112226688 |
| 11 | 58392632 |
| 12 | 31702000 |
| 13 | 1a334a32 |
| 14 | 10c94d20 |
| 15 | 9cbc543 |
| hex | 6b07180 |
112226688 has 128 divisors (see below), whose sum is σ = 378624000. Its totient is φ = 32057856.
The previous prime is 112226687. The next prime is 112226743. The reversal of 112226688 is 886622211.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a plaindrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112226687) 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, 21873 + ... + 26511.
It is an arithmetic number, because the mean of its divisors is an integer number (2958000).
Almost surely, 2112226688 is an apocalyptic number.
112226688 is a gapful number since it is divisible by the number (18) 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 112226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189312000).
112226688 is an abundant number, since it is smaller than the sum of its proper divisors (266397312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112226688 is an equidigital number, since it uses as much as digits as its factorization.
112226688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4669 (or 4651 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 112226688 is about 10593.7098317823. The cubic root of 112226688 is about 482.3534422036.
Adding to 112226688 its reverse (886622211), we get a palindrome (998848899).
The spelling of 112226688 in words is "one hundred twelve million, two hundred twenty-six thousand, six hundred eighty-eight".
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