221771340050 has 162 divisors, whose sum is σ = 460596889053. Its totient is φ = 79407319680.

The previous prime is 221771340047. The next prime is 221771340053. The reversal of 221771340050 is 50043177122.

It is an interprime number because it is at equal distance from previous prime (221771340047) and next prime (221771340053).

It can be written as a sum of positive squares in 14 ways, for example, as 23289506881 + 198481833169 = 152609^2 + 445513^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332995.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221771339989 and 221771340016.

It is not an unprimeable number, because it can be changed into a prime (221771340053) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2034599396 + ... + 2034599504.

Almost surely, 2^221771340050 is an apocalyptic number.

221771340050 is an abundant number, since it is smaller than the sum of its proper divisors (238825549003).

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

221771340050 is a wasteful number, since it uses less digits than its factorization.

221771340050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Multiplying 221771340050 by its sum of digits (32), we get a square (7096682881600 = 2663960²).

The spelling of 221771340050 in words is "two hundred twenty-one billion, seven hundred seventy-one million, three hundred forty thousand, fifty".