224269050240 has 512 divisors, whose sum is σ = 814302720000. Its totient is φ = 58308157440.

The previous prime is 224269050209. The next prime is 224269050251. The reversal of 224269050240 is 42050962422.

It is a happy number.

224269050240 is a `hidden beast` number, since 2 + 2 + 4 + 26 + 90 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224269050195 and 224269050204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374405461 + ... + 374406059.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435000).

Almost surely, 2^224269050240 is an apocalyptic number.

224269050240 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 224269050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360000).

224269050240 is an abundant number, since it is smaller than the sum of its proper divisors (590033669760).

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

224269050240 is a wasteful number, since it uses less digits than its factorization.

224269050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 224269050240 in words is "two hundred twenty-four billion, two hundred sixty-nine million, fifty thousand, two hundred forty".