Search a number
-
+
224424 = 23331039
BaseRepresentation
bin110110110010101000
3102101212000
4312302220
524140144
64451000
71623204
oct666250
9371760
10224424
11143682
12a9a60
137b1c5
145bb04
1546769
hex36ca8

224424 has 32 divisors (see below), whose sum is σ = 624000. Its totient is φ = 74736.

The previous prime is 224423. The next prime is 224429. The reversal of 224424 is 424422.

224424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2244242 = 100732263552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224397 and 224406.

It is not an unprimeable number, because it can be changed into a prime (224423) 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, 304 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (19500).

2224424 is an apocalyptic number.

224424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224424 is an abundant number, since it is smaller than the sum of its proper divisors (399576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224424 is a wasteful number, since it uses less digits than its factorization.

224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1044 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 224424 is about 473.7341026356. The cubic root of 224424 is about 60.7700741464.

Adding to 224424 its reverse (424422), we get a palindrome (648846).

The spelling of 224424 in words is "two hundred twenty-four thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1039 2078 3117 4156 6234 8312 9351 12468 18702 24936 28053 37404 56106 74808 112212 224424