6228165906 has 96 divisors (see below), whose sum is σ = 14459627520. Its totient is φ = 1933078752.

The previous prime is 6228165901. The next prime is 6228165919. The reversal of 6228165906 is 6095618226.

6228165906 is a `hidden beast` number, since 622 + 8 + 16 + 5 + 9 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6228165901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612391 + ... + 2614773.

It is an arithmetic number, because the mean of its divisors is an integer number (150621120).

Almost surely, 2^6228165906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6228165906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229813760).

6228165906 is an abundant number, since it is smaller than the sum of its proper divisors (8231461614).

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

6228165906 is a wasteful number, since it uses less digits than its factorization.

6228165906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6228165906 is about 78918.7297540958. The cubic root of 6228165906 is about 1839.8682469066.

The spelling of 6228165906 in words is "six billion, two hundred twenty-eight million, one hundred sixty-five thousand, nine hundred six".