221334400 has 192 divisors, whose sum is σ = 642771360. Its totient is φ = 73728000.

The previous prime is 221334353. The next prime is 221334403. The reversal of 221334400 is 4433122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221334403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918280 + ... + 918520.

Almost surely, 2^221334400 is an apocalyptic number.

221334400 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 221334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680).

221334400 is an abundant number, since it is smaller than the sum of its proper divisors (421436960).

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

221334400 is a wasteful number, since it uses less digits than its factorization.

221334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 221334400 is about 14877.3115850949. The cubic root of 221334400 is about 604.8991476359.

Adding to 221334400 its reverse (4433122), we get a palindrome (225767522).

The spelling of 221334400 in words is "two hundred twenty-one million, three hundred thirty-four thousand, four hundred".