224190 has 48 divisors (see below), whose sum is σ = 606528. Its totient is φ = 57408.

The previous prime is 224177. The next prime is 224197. The reversal of 224190 is 91422.

It is a super-2 number, since 2×224190² = 100522312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4204 + ... + 4256.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2²²⁴¹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264).

224190 is an abundant number, since it is smaller than the sum of its proper divisors (382338).

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

224190 is a wasteful number, since it uses less digits than its factorization.

224190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 224190 is about 473.4870642372. The cubic root of 224190 is about 60.7489457725.

It can be divided in two parts, 224 and 190, that added together give a palindrome (414).

The spelling of 224190 in words is "two hundred twenty-four thousand, one hundred ninety".