8226212904 has 576 divisors, whose sum is σ = 29575728000. Its totient is φ = 2139830784.

The previous prime is 8226212903. The next prime is 8226212933. The reversal of 8226212904 is 4092126228.

8226212904 is a `hidden beast` number, since 8 + 2 + 2 + 621 + 29 + 0 + 4 = 666.

It is a super-2 number, since 2×8226212904² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8226212903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112687812 + ... + 112687884.

It is an arithmetic number, because the mean of its divisors is an integer number (51346750).

Almost surely, 2^8226212904 is an apocalyptic number.

8226212904 is a gapful number since it is divisible by the number (84) 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 8226212904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787864000).

8226212904 is an abundant number, since it is smaller than the sum of its proper divisors (21349515096).

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

8226212904 is a wasteful number, since it uses less digits than its factorization.

8226212904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8226212904 is about 90698.4724457915. The cubic root of 8226212904 is about 2018.6761335023.

The spelling of 8226212904 in words is "eight billion, two hundred twenty-six million, two hundred twelve thousand, nine hundred four".