Base | Representation |
---|---|
bin | 11010100110010… |
… | …11001101000000 |
3 | 120112212012102002 |
4 | 31103023031000 |
5 | 424110133212 |
6 | 34050243132 |
7 | 5346402020 |
oct | 1523131500 |
9 | 515765362 |
10 | 223130432 |
11 | 104a51218 |
12 | 628864a8 |
13 | 372c5555 |
14 | 218c3a80 |
15 | 148c7ac2 |
hex | d4cb340 |
223130432 has 56 divisors (see below), whose sum is σ = 516843264. Its totient is φ = 93583872.
The previous prime is 223130431. The next prime is 223130447. The reversal of 223130432 is 234031322.
It is a tau number, because it is divible by the number of its divisors (56).
It is a super-3 number, since 3×2231304323 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223130431) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15758 + ... + 26354.
It is an arithmetic number, because the mean of its divisors is an integer number (9229344).
Almost surely, 2223130432 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 223130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258421632).
223130432 is an abundant number, since it is smaller than the sum of its proper divisors (293712832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223130432 is a wasteful number, since it uses less digits than its factorization.
223130432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10663 (or 10653 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 223130432 is about 14937.5510710424. The cubic root of 223130432 is about 606.5309060356.
Adding to 223130432 its reverse (234031322), we get a palindrome (457161754).
The spelling of 223130432 in words is "two hundred twenty-three million, one hundred thirty thousand, four hundred thirty-two".
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