221332400 has 120 divisors (see below), whose sum is σ = 554827584. Its totient is φ = 84787200.

The previous prime is 221332373. The next prime is 221332421. The reversal of 221332400 is 4233122.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146704 + ... + 1146896.

Almost surely, 2^221332400 is an apocalyptic number.

221332400 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 221332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277413792).

221332400 is an abundant number, since it is smaller than the sum of its proper divisors (333495184).

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

221332400 is a wasteful number, since it uses less digits than its factorization.

221332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 221332400 is about 14877.2443684978. The cubic root of 221332400 is about 604.8973256538.

Adding to 221332400 its reverse (4233122), we get a palindrome (225565522).

The spelling of 221332400 in words is "two hundred twenty-one million, three hundred thirty-two thousand, four hundred".