Base | Representation |
---|---|
bin | 11010101111110… |
… | …11001000100000 |
3 | 120122012110002100 |
4 | 31113323020200 |
5 | 424420002303 |
6 | 34133050400 |
7 | 5363105322 |
oct | 1527731040 |
9 | 518173070 |
10 | 224375328 |
11 | 105721561 |
12 | 63186a00 |
13 | 37640088 |
14 | 21b29612 |
15 | 14a718a3 |
hex | d5fb220 |
224375328 has 36 divisors (see below), whose sum is σ = 638068158. Its totient is φ = 74791680.
The previous prime is 224375323. The next prime is 224375339. The reversal of 224375328 is 823573422.
224375328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 141419664 + 82955664 = 11892^2 + 9108^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 224375292 and 224375301.
It is not an unprimeable number, because it can be changed into a prime (224375323) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 389253 + ... + 389828.
Almost surely, 2224375328 is an apocalyptic number.
It is an amenable number.
224375328 is an abundant number, since it is smaller than the sum of its proper divisors (413692830).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224375328 is a wasteful number, since it uses less digits than its factorization.
224375328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 779097 (or 779086 counting only the distinct ones).
The product of its digits is 80640, while the sum is 36.
The square root of 224375328 is about 14979.1631274915. The cubic root of 224375328 is about 607.6568065473.
The spelling of 224375328 in words is "two hundred twenty-four million, three hundred seventy-five thousand, three hundred twenty-eight".
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