224235422240 has 96 divisors (see below), whose sum is σ = 543871815984. Its totient is φ = 87313858560.

The previous prime is 224235422239. The next prime is 224235422261. The reversal of 224235422240 is 42224532422.

It can be written as a sum of positive squares in 8 ways, for example, as 24937463056 + 199297959184 = 157916^2 + 446428^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 224235422197 and 224235422206.

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, 2960522 + ... + 3035318.

Almost surely, 2^224235422240 is an apocalyptic number.

224235422240 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 224235422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271935907992).

224235422240 is an abundant number, since it is smaller than the sum of its proper divisors (319636393744).

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

224235422240 is a wasteful number, since it uses less digits than its factorization.

224235422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75310 (or 75302 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 224235422240 its reverse (42224532422), we get a palindrome (266459954662).

The spelling of 224235422240 in words is "two hundred twenty-four billion, two hundred thirty-five million, four hundred twenty-two thousand, two hundred forty".