Base | Representation |
---|---|
bin | 11010101101000… |
… | …10100000100000 |
3 | 120121112000010121 |
4 | 31112202200200 |
5 | 424321343240 |
6 | 34121210024 |
7 | 5360034100 |
oct | 1526424040 |
9 | 517460117 |
10 | 224012320 |
11 | 1054a3854 |
12 | 63030914 |
13 | 37543a8c |
14 | 21a73200 |
15 | 149ee04a |
hex | d5a2820 |
224012320 has 72 divisors (see below), whose sum is σ = 615655404. Its totient is φ = 76801536.
The previous prime is 224012317. The next prime is 224012323. The reversal of 224012320 is 23210422.
It is an interprime number because it is at equal distance from previous prime (224012317) and next prime (224012323).
It can be written as a sum of positive squares in 2 ways, for example, as 182898576 + 41113744 = 13524^2 + 6412^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 224012294 and 224012303.
It is not an unprimeable number, because it can be changed into a prime (224012323) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6447 + ... + 22126.
Almost surely, 2224012320 is an apocalyptic number.
224012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
224012320 is an abundant number, since it is smaller than the sum of its proper divisors (391643084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224012320 is a wasteful number, since it uses less digits than its factorization.
224012320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28602 (or 28587 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 224012320 is about 14967.0411237492. The cubic root of 224012320 is about 607.3289283306.
Adding to 224012320 its reverse (23210422), we get a palindrome (247222742).
The spelling of 224012320 in words is "two hundred twenty-four million, twelve thousand, three hundred twenty".
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