221381683200 has 360 divisors, whose sum is σ = 819965936790. Its totient is φ = 59034009600.

The previous prime is 221381683199. The next prime is 221381683207. The reversal of 221381683200 is 2386183122.

It can be written as a sum of positive squares in 3 ways, for example, as 120836883456 + 100544799744 = 347616^2 + 317088^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221381683207) 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 29 ways as a sum of consecutive naturals, for example, 4120510 + ... + 4173890.

Almost surely, 2^221381683200 is an apocalyptic number.

221381683200 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 221381683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409982968395).

221381683200 is an abundant number, since it is smaller than the sum of its proper divisors (598584253590).

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

221381683200 is an equidigital number, since it uses as much as digits as its factorization.

221381683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53425 (or 53391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 221381683200 in words is "two hundred twenty-one billion, three hundred eighty-one million, six hundred eighty-three thousand, two hundred".