2224 has 10 divisors (see below), whose sum is σ = 4340. Its totient is φ = 1104.

The previous prime is 2221. The next prime is 2237. The reversal of 2224 is 4222.

2224 = T_{37} + T_{38} +
T_{39}.

It is a happy number.

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

It is a d-powerful number, because it can be written as **2**^{5} + **2**^{7} + **2**^{11} + **4**^{2} .

It is a plaindrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2224.

It is not an unprimeable number, because it can be changed into a prime (2221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

2^{2224} is an apocalyptic number.

2224 is the 39-th centered triangular number.

It is an amenable number.

2224 is a deficient number, since it is larger than the sum of its proper divisors (2116).

2224 is a wasteful number, since it uses less digits than its factorization.

2224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 32, while the sum is 10.

The square root of 2224 is about 47.1593044902. The cubic root of 2224 is about 13.0530377587.

Adding to 2224 its reverse (4222), we get a palindrome (6446).

It can be divided in two parts, 222 and 4, that multiplied together give a palindrome (888).

The spelling of 2224 in words is "two thousand, two hundred twenty-four", and thus it is an iban number.

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