221205600 has 864 divisors, whose sum is σ = 1068681600. Its totient is φ = 43545600.

The previous prime is 221205583. The next prime is 221205601. The reversal of 221205600 is 6502122.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221205601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642391 + ... + 11642409.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^221205600 is an apocalyptic number.

221205600 is a gapful number since it is divisible by the number (20) 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 221205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

221205600 is an abundant number, since it is smaller than the sum of its proper divisors (847476000).

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

221205600 is a wasteful number, since it uses less digits than its factorization.

221205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221205600 is about 14872.9822160856. The cubic root of 221205600 is about 604.7817895751.

Adding to 221205600 its reverse (6502122), we get a palindrome (227707722).

The spelling of 221205600 in words is "two hundred twenty-one million, two hundred five thousand, six hundred".