110224 has 15 divisors (see below), whose sum is σ = 216163. Its totient is φ = 54448.

The previous prime is 110221. The next prime is 110233. The reversal of 110224 is 422011.

Multipling 110224 by its product of nonzero digits (16), we get a square (1763584 = 1328^{2}).

110224 divided by its product of nonzero digits (16) gives a square (6889 = 83^{2}).

Adding to 110224 its reverse (422011), we get a palindrome (532235).

It can be divided in two parts, 11022 and 4, that added together give a triangular number (11026 = T_{148}).

110224 = T_{331} + T_{332}.

The square root of 110224 is 332.

It is a perfect power (a square), and thus also a powerful number.

110224 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 110224.

It is not an unprimeable number, because it can be changed into a prime (110221) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1287 + ... + 1369.

2^{110224} is an apocalyptic number.

110224 is the 332-nd square number.

It is an amenable number.

110224 is a deficient number, since it is larger than the sum of its proper divisors (105939).

110224 is an frugal number, since it uses more digits than its factorization.

110224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The cubic root of 110224 is about 47.9467000962.

The spelling of 110224 in words is "one hundred ten thousand, two hundred twenty-four", and thus it is an iban number.

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