221323200 has 252 divisors, whose sum is σ = 845573112. Its totient is φ = 50534400.

The previous prime is 221323171. The next prime is 221323211. The reversal of 221323200 is 2323122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221323200.

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 35 ways as a sum of consecutive naturals, for example, 234730 + ... + 235670.

Almost surely, 2^221323200 is an apocalyptic number.

221323200 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 221323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422786556).

221323200 is an abundant number, since it is smaller than the sum of its proper divisors (624249912).

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

221323200 is a wasteful number, since it uses less digits than its factorization.

221323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 221323200 is about 14876.9351682395. The cubic root of 221323200 is about 604.8889443948. Note that the first 3 decimals are identical.

Adding to 221323200 its reverse (2323122), we get a palindrome (223646322).

The spelling of 221323200 in words is "two hundred twenty-one million, three hundred twenty-three thousand, two hundred".