Base | Representation |
---|---|
bin | 11010101101000… |
… | …10111110010000 |
3 | 120121112002202010 |
4 | 31112202332100 |
5 | 424321423344 |
6 | 34121222520 |
7 | 5360042460 |
oct | 1526427620 |
9 | 517462663 |
10 | 224014224 |
11 | 1054a5225 |
12 | 63031a40 |
13 | 375448c5 |
14 | 21a73ba0 |
15 | 149ee8b9 |
hex | d5a2f90 |
224014224 has 80 divisors (see below), whose sum is σ = 670508672. Its totient is φ = 63120384.
The previous prime is 224014187. The next prime is 224014229. The reversal of 224014224 is 422410422.
224014224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 224014224.
It is not an unprimeable number, because it can be changed into a prime (224014229) 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, 19962 + ... + 29094.
Almost surely, 2224014224 is an apocalyptic number.
224014224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 224014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335254336).
224014224 is an abundant number, since it is smaller than the sum of its proper divisors (446494448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224014224 is a wasteful number, since it uses less digits than its factorization.
224014224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9224 (or 9218 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 21.
The square root of 224014224 is about 14967.1047300405. The cubic root of 224014224 is about 607.3306489964.
Adding to 224014224 its reverse (422410422), we get a palindrome (646424646).
The spelling of 224014224 in words is "two hundred twenty-four million, fourteen thousand, two hundred twenty-four".
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