224466 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 64080.

The previous prime is 224461. The next prime is 224467. The reversal of 224466 is 664422.

224466 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 2¹⁷ + 4² + 4³ + 6⁶ + 6⁶ .

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (224461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²²⁴⁴⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

224466 is an abundant number, since it is smaller than the sum of its proper divisors (293934).

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

224466 is a wasteful number, since it uses less digits than its factorization.

224466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its digits is 2304, while the sum is 24.

The square root of 224466 is about 473.7784292262. The cubic root of 224466 is about 60.7738648638.

Adding to 224466 its reverse (664422), we get a palindrome (888888).

The spelling of 224466 in words is "two hundred twenty-four thousand, four hundred sixty-six".