221332000 has 48 divisors (see below), whose sum is σ = 543822552. Its totient is φ = 88531200.

The previous prime is 221331989. The next prime is 221332019. The reversal of 221332000 is 233122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 188567824 = 5724^2 + 13732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23667 + ... + 31666.

Almost surely, 2^221332000 is an apocalyptic number.

221332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221332000 is an abundant number, since it is smaller than the sum of its proper divisors (322490552).

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

221332000 is an equidigital number, since it uses as much as digits as its factorization.

221332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55358 (or 55340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 221332000 is about 14877.2309251419. The cubic root of 221332000 is about 604.8969612561.

Adding to 221332000 its reverse (233122), we get a palindrome (221565122).

The spelling of 221332000 in words is "two hundred twenty-one million, three hundred thirty-two thousand".