221305193550 has 192 divisors, whose sum is σ = 698022466560. Its totient is φ = 50505171840.

The previous prime is 221305193467. The next prime is 221305193579. The reversal of 221305193550 is 55391503122.

221305193550 is a `hidden beast` number, since 2 + 2 + 13 + 0 + 5 + 1 + 93 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6152919 + ... + 6188781.

It is an arithmetic number, because the mean of its divisors is an integer number (3635533680).

Almost surely, 2^221305193550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221305193550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349011233280).

221305193550 is an abundant number, since it is smaller than the sum of its proper divisors (476717273010).

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

221305193550 is a wasteful number, since it uses less digits than its factorization.

221305193550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36544 (or 36533 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 221305193550 its reverse (55391503122), we get a palindrome (276696696672).

The spelling of 221305193550 in words is "two hundred twenty-one billion, three hundred five million, one hundred ninety-three thousand, five hundred fifty".