224 has 12 divisors (see below), whose sum is σ = 504. Its totient is φ = 96.

The previous prime is 223. The next prime is 227. The reversal of 224 is 422.

Adding to 224 its reverse (422), we get a palindrome (646).

It can be divided in two parts, 22 and 4, that multiplied together give a palindrome (88).

224 = 2^{3} + 3^{3} + ... + 5^{3}.

224 is nontrivially palindromic in base 3 and base 15.

It is a Cunningham number, because it is equal to 15^{2}-1.

224 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

224 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as **2**^{5} + **2**^{7} + **4**^{3} .

224 is a nontrivial repdigit in base 15.

It is a plaindrome in base 5, base 9, base 10, base 12 and base 15.

It is a nialpdrome in base 2, base 4, base 7, base 15 and base 16.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29 + ... + 35.

It is an arithmetic number, because the mean of its divisors is an integer number (42).

2^{224} 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 224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252).

224 is an abundant number, since it is smaller than the sum of its proper divisors (280).

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

224 is an equidigital number, since it uses as much as digits as its factorization.

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

The sum of its prime factors is 17 (or 9 counting only the distinct ones).

The product of its digits is 16, while the sum is 8.

The square root of 224 is about 14.9666295471. The cubic root of 224 is about 6.0731779438.

The spelling of 224 in words is "two hundred twenty-four", and thus it is an aban number and an iban number.

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