221244800 has 288 divisors, whose sum is σ = 681284520. Its totient is φ = 70533120.

The previous prime is 221244791. The next prime is 221244827. The reversal of 221244800 is 8442122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2665559 + ... + 2665641.

Almost surely, 2^221244800 is an apocalyptic number.

221244800 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 221244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340642260).

221244800 is an abundant number, since it is smaller than the sum of its proper divisors (460039720).

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

221244800 is a wasteful number, since it uses less digits than its factorization.

221244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 221244800 is about 14874.2999835286. The cubic root of 221244800 is about 604.8175120672.

Adding to 221244800 its reverse (8442122), we get a palindrome (229686922).

The spelling of 221244800 in words is "two hundred twenty-one million, two hundred forty-four thousand, eight hundred".