221917882050 has 162 divisors, whose sum is σ = 609134826027. Its totient is φ = 57922962240.

The previous prime is 221917882033. The next prime is 221917882079. The reversal of 221917882050 is 50288719122.

221917882050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 130147056081 + 91770825969 = 360759^2 + 302937^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333105.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 221917881987 and 221917882005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 529636741 + ... + 529637159.

Almost surely, 2^221917882050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221917882050

221917882050 is an abundant number, since it is smaller than the sum of its proper divisors (387216943977).

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

221917882050 is an equidigital number, since it uses as much as digits as its factorization.

221917882050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 221917882050 in words is "two hundred twenty-one billion, nine hundred seventeen million, eight hundred eighty-two thousand, fifty".