8228424240 has 240 divisors, whose sum is σ = 30028078080. Its totient is φ = 2011599360.

The previous prime is 8228424233. The next prime is 8228424241. The reversal of 8228424240 is 424248228.

It is a happy number.

8228424240 is a `hidden beast` number, since 8 + 228 + 4 + 2 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 8228424195 and 8228424204.

It is not an unprimeable number, because it can be changed into a prime (8228424241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414379 + ... + 433781.

It is an arithmetic number, because the mean of its divisors is an integer number (125116992).

Almost surely, 2^8228424240 is an apocalyptic number.

8228424240 is a gapful number since it is divisible by the number (80) 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 8228424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

8228424240 is an abundant number, since it is smaller than the sum of its proper divisors (21799653840).

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

8228424240 is a wasteful number, since it uses less digits than its factorization.

8228424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19472 (or 19463 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8228424240 is about 90710.6622178452. The cubic root of 8228424240 is about 2018.8570013096.

The spelling of 8228424240 in words is "eight billion, two hundred twenty-eight million, four hundred twenty-four thousand, two hundred forty".