Base | Representation |
---|---|
bin | 11001101000010… |
… | …100100001100000 |
3 | 1002222010021102020 |
4 | 121220110201200 |
5 | 1340040001344 |
6 | 110400221440 |
7 | 13440640653 |
oct | 3150244140 |
9 | 1088107366 |
10 | 430000224 |
11 | 2007a6595 |
12 | 10000a880 |
13 | 6b116704 |
14 | 4117389a |
15 | 27b3c719 |
hex | 19a14860 |
430000224 has 96 divisors (see below), whose sum is σ = 1160613216. Its totient is φ = 139345920.
The previous prime is 430000223. The next prime is 430000231. The reversal of 430000224 is 422000034.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (430000223) 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, 567654 + ... + 568410.
It is an arithmetic number, because the mean of its divisors is an integer number (12089721).
Almost surely, 2430000224 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 430000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580306608).
430000224 is an abundant number, since it is smaller than the sum of its proper divisors (730612992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
430000224 is a wasteful number, since it uses less digits than its factorization.
430000224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 928 (or 920 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 430000224 is about 20736.4467544466. The cubic root of 430000224 is about 754.7843624920.
Adding to 430000224 its reverse (422000034), we get a palindrome (852000258).
The spelling of 430000224 in words is "four hundred thirty million, two hundred twenty-four", and thus it is an aban number.
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