224105440 has 96 divisors (see below), whose sum is σ = 574541856. Its totient is φ = 82114560.

The previous prime is 224105429. The next prime is 224105449. The reversal of 224105440 is 44501422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224105449) 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, 338710 + ... + 339370.

It is an arithmetic number, because the mean of its divisors is an integer number (5984811).

Almost surely, 2^224105440 is an apocalyptic number.

224105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287270928).

224105440 is an abundant number, since it is smaller than the sum of its proper divisors (350436416).

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

224105440 is a wasteful number, since it uses less digits than its factorization.

224105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 224105440 is about 14970.1516358386. The cubic root of 224105440 is about 607.4130704813.

Adding to 224105440 its reverse (44501422), we get a palindrome (268606862).

The spelling of 224105440 in words is "two hundred twenty-four million, one hundred five thousand, four hundred forty".