Base | Representation |
---|---|
bin | 11010100101011… |
… | …10101010000000 |
3 | 120112122021000102 |
4 | 31102232222000 |
5 | 424042413004 |
6 | 34043541532 |
7 | 5345404100 |
oct | 1522565200 |
9 | 515567012 |
10 | 223013504 |
11 | 10498138a |
12 | 6282a8a8 |
13 | 3728426c |
14 | 21893200 |
15 | 148a311e |
hex | d4aea80 |
223013504 has 144 divisors (see below), whose sum is σ = 548463690. Its totient is φ = 89994240.
The previous prime is 223013501. The next prime is 223013519. The reversal of 223013504 is 405310322.
It is a happy number.
223013504 is digitally balanced in base 3, 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., 147671104 + 75342400 = 12152^2 + 8680^2 .
It is not an unprimeable number, because it can be changed into a prime (223013501) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6027374 + ... + 6027410.
Almost surely, 2223013504 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 223013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274231845).
223013504 is an abundant number, since it is smaller than the sum of its proper divisors (325450186).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223013504 is an equidigital number, since it uses as much as digits as its factorization.
223013504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 127 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
The square root of 223013504 is about 14933.6366635860. The cubic root of 223013504 is about 606.4249398570.
Adding to 223013504 its reverse (405310322), we get a palindrome (628323826).
The spelling of 223013504 in words is "two hundred twenty-three million, thirteen thousand, five hundred four".
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