224042240 has 72 divisors (see below), whose sum is σ = 542277288. Its totient is φ = 88678400.

The previous prime is 224042213. The next prime is 224042249. The reversal of 224042240 is 42240422.

It can be written as a sum of positive squares in 4 ways, for example, as 68690944 + 155351296 = 8288^2 + 12464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224042249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128414 + ... + 130146.

It is an arithmetic number, because the mean of its divisors is an integer number (7531629).

Almost surely, 2^224042240 is an apocalyptic number.

224042240 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 224042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271138644).

224042240 is an abundant number, since it is smaller than the sum of its proper divisors (318235048).

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

224042240 is a wasteful number, since it uses less digits than its factorization.

224042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224042240 is about 14968.0406199342. The cubic root of 224042240 is about 607.3559662372.

Adding to 224042240 its reverse (42240422), we get a palindrome (266282662).

The spelling of 224042240 in words is "two hundred twenty-four million, forty-two thousand, two hundred forty".