Base | Representation |
---|---|
bin | 1100001100101… |
… | …01100000000000 |
3 | 21010112121110002 |
4 | 12012111200000 |
5 | 202143333344 |
6 | 14053055132 |
7 | 2351512232 |
oct | 606254000 |
9 | 233477402 |
10 | 102324224 |
11 | 52839782 |
12 | 2a3274a8 |
13 | 182786a2 |
14 | d838252 |
15 | 8eb344e |
hex | 6195800 |
102324224 has 48 divisors (see below), whose sum is σ = 216707400. Its totient is φ = 48136192.
The previous prime is 102324223. The next prime is 102324247. The reversal of 102324224 is 422423201.
It is a junction number, because it is equal to n+sod(n) for n = 102324196 and 102324205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102324223) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33347 + ... + 36285.
Almost surely, 2102324224 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 102324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108353700).
102324224 is an abundant number, since it is smaller than the sum of its proper divisors (114383176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102324224 is an equidigital number, since it uses as much as digits as its factorization.
102324224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2978 (or 2958 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 102324224 is about 10115.5436828675. The cubic root of 102324224 is about 467.7274084033.
Adding to 102324224 its reverse (422423201), we get a palindrome (524747425).
The spelling of 102324224 in words is "one hundred two million, three hundred twenty-four thousand, two hundred twenty-four".
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