10221650208 has 216 divisors, whose sum is σ = 36515816064. Its totient is φ = 2654910720.

The previous prime is 10221650207. The next prime is 10221650209. The reversal of 10221650208 is 80205612201.

It is a happy number.

10221650208 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 650 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10221650207) and next prime (10221650209).

It is not an unprimeable number, because it can be changed into a prime (10221650207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222985 + ... + 264887.

It is an arithmetic number, because the mean of its divisors is an integer number (169054704).

Almost surely, 2^10221650208 is an apocalyptic number.

10221650208 is a gapful number since it is divisible by the number (18) 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 10221650208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18257908032).

10221650208 is an abundant number, since it is smaller than the sum of its proper divisors (26294165856).

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

10221650208 is a wasteful number, since it uses less digits than its factorization.

10221650208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41948 (or 41926 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10221650208 in words is "ten billion, two hundred twenty-one million, six hundred fifty thousand, two hundred eight".