8222565240 has 192 divisors, whose sum is σ = 27966032640. Its totient is φ = 2092677120.

The previous prime is 8222565217. The next prime is 8222565269. The reversal of 8222565240 is 425652228.

8222565240 is a `hidden beast` number, since 82 + 2 + 2 + 56 + 524 + 0 = 666.

It is a super-3 number, since 3×8222565240³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 8222565195 and 8222565204.

It is a congruent number.

It is an unprimeable number.

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, 809634 + ... + 819726.

It is an arithmetic number, because the mean of its divisors is an integer number (145656420).

Almost surely, 2^8222565240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8222565240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983016320).

8222565240 is an abundant number, since it is smaller than the sum of its proper divisors (19743467400).

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

8222565240 is a wasteful number, since it uses less digits than its factorization.

8222565240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 8222565240 is about 90678.3614761537. The cubic root of 8222565240 is about 2018.3777158715.

The spelling of 8222565240 in words is "eight billion, two hundred twenty-two million, five hundred sixty-five thousand, two hundred forty".