221856289200 has 1440 divisors, whose sum is σ = 1032492249600. Its totient is φ = 43938754560.

The previous prime is 221856289199. The next prime is 221856289271. The reversal of 221856289200 is 2982658122.

221856289200 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 562 + 89 + 2 + 0 + 0 = 666.

221856289200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2035378746 + ... + 2035378854.

Almost surely, 2^221856289200 is an apocalyptic number.

221856289200 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 221856289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516246124800).

221856289200 is an abundant number, since it is smaller than the sum of its proper divisors (810635960400).

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

221856289200 is a wasteful number, since it uses less digits than its factorization.

221856289200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 221856289200 in words is "two hundred twenty-one billion, eight hundred fifty-six million, two hundred eighty-nine thousand, two hundred".