Base | Representation |
---|---|
bin | 1110100100100… |
… | …00100010010000 |
3 | 22111222202200201 |
4 | 13102100202100 |
5 | 222242224312 |
6 | 20043424544 |
7 | 3012624310 |
oct | 722204220 |
9 | 274882621 |
10 | 122226832 |
11 | 62aa2912 |
12 | 34b25154 |
13 | 1c426690 |
14 | 12339440 |
15 | aae5557 |
hex | 7490890 |
122226832 has 80 divisors (see below), whose sum is σ = 294203392. Its totient is φ = 47900160.
The previous prime is 122226809. The next prime is 122226833. The reversal of 122226832 is 238622221.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 122226832.
It is not an unprimeable number, because it can be changed into a prime (122226833) 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, 184582 + ... + 185242.
Almost surely, 2122226832 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122226832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147101696).
122226832 is an abundant number, since it is smaller than the sum of its proper divisors (171976560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122226832 is a wasteful number, since it uses less digits than its factorization.
122226832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 816 (or 810 counting only the distinct ones).
The product of its digits is 4608, while the sum is 28.
The square root of 122226832 is about 11055.6244509299. The cubic root of 122226832 is about 496.2747567208.
The spelling of 122226832 in words is "one hundred twenty-two million, two hundred twenty-six thousand, eight hundred thirty-two".
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