224221040 has 80 divisors (see below), whose sum is σ = 544250880. Its totient is φ = 85800960.

The previous prime is 224221037. The next prime is 224221051. The reversal of 224221040 is 40122422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294260 + ... + 295020.

It is an arithmetic number, because the mean of its divisors is an integer number (6803136).

Almost surely, 2^224221040 is an apocalyptic number.

224221040 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 224221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

224221040 is an abundant number, since it is smaller than the sum of its proper divisors (320029840).

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

224221040 is a wasteful number, since it uses less digits than its factorization.

224221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

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

The square root of 224221040 is about 14974.0121543960. The cubic root of 224221040 is about 607.5174928775.

Adding to 224221040 its reverse (40122422), we get a palindrome (264343462).

The spelling of 224221040 in words is "two hundred twenty-four million, two hundred twenty-one thousand, forty".