224144 has 10 divisors (see below), whose sum is σ = 434310. Its totient is φ = 112064.

The previous prime is 224131. The next prime is 224149. The reversal of 224144 is 441422.

224144 = T₁₀₂ + T₁₀₃ + ... + T₁₃₃.

224144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 12544 = 460^2 + 112^2 .

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

It is not an unprimeable number, because it can be changed into a prime (224149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6989 + ... + 7020.

It is an arithmetic number, because the mean of its divisors is an integer number (43431).

2²²⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

224144 is a deficient number, since it is larger than the sum of its proper divisors (210166).

224144 is a wasteful number, since it uses less digits than its factorization.

224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14017 (or 14011 counting only the distinct ones).

The product of its digits is 256, while the sum is 17.

The square root of 224144 is about 473.4384859726. The cubic root of 224144 is about 60.7447906025.

Adding to 224144 its reverse (441422), we get a palindrome (665566).

The spelling of 224144 in words is "two hundred twenty-four thousand, one hundred forty-four", and thus it is an iban number.