| Base | Representation |
|---|---|
| bin | 1101011100110… |
| … | …00100101101000 |
| 3 | 21212021222120000 |
| 4 | 12232120211220 |
| 5 | 212340311012 |
| 6 | 15110103000 |
| 7 | 2536655646 |
| oct | 656304550 |
| 9 | 255258500 |
| 10 | 112822632 |
| 11 | 5875a34a |
| 12 | 3194aa60 |
| 13 | 1a4b3070 |
| 14 | 10dac196 |
| 15 | 9d88ddc |
| hex | 6b98968 |
112822632 has 160 divisors (see below), whose sum is σ = 347608800. Its totient is φ = 33975936.
The previous prime is 112822631. The next prime is 112822663. The reversal of 112822632 is 236228211.
112822632 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 22 + 632 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 112822596 and 112822605.
It is not an unprimeable number, because it can be changed into a prime (112822631) 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 39 ways as a sum of consecutive naturals, for example, 496903 + ... + 497129.
It is an arithmetic number, because the mean of its divisors is an integer number (2172555).
Almost surely, 2112822632 is an apocalyptic number.
112822632 is a gapful number since it is divisible by the number (12) 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 112822632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173804400).
112822632 is an abundant number, since it is smaller than the sum of its proper divisors (234786168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112822632 is a wasteful number, since it uses less digits than its factorization.
112822632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 317 (or 304 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 112822632 is about 10621.7998474835. The cubic root of 112822632 is about 483.2057300353.
The spelling of 112822632 in words is "one hundred twelve million, eight hundred twenty-two thousand, six hundred thirty-two".
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