221860800 has 504 divisors, whose sum is σ = 943368192. Its totient is φ = 48384000.

The previous prime is 221860763. The next prime is 221860841. The reversal of 221860800 is 8068122.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3124765 + ... + 3124835.

Almost surely, 2^221860800 is an apocalyptic number.

221860800 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 221860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471684096).

221860800 is an abundant number, since it is smaller than the sum of its proper divisors (721507392).

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

221860800 is a wasteful number, since it uses less digits than its factorization.

221860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 221860800 is about 14894.9924471280. The cubic root of 221860800 is about 605.3783122126.

The spelling of 221860800 in words is "two hundred twenty-one million, eight hundred sixty thousand, eight hundred".