221440032 has 72 divisors (see below), whose sum is σ = 686977200. Its totient is φ = 67102080.

The previous prime is 221440019. The next prime is 221440061. The reversal of 221440032 is 230044122.

221440032 is a `hidden beast` number, since 221 + 440 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×221440032² = 98071375544322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221439987 and 221440014.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31782 + ... + 38117.

It is an arithmetic number, because the mean of its divisors is an integer number (9541350).

Almost surely, 2^221440032 is an apocalyptic number.

221440032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221440032 is an abundant number, since it is smaller than the sum of its proper divisors (465537168).

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

221440032 is a wasteful number, since it uses less digits than its factorization.

221440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69926 (or 69915 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221440032 is about 14880.8612653972. The cubic root of 221440032 is about 604.9953618477.

Adding to 221440032 its reverse (230044122), we get a palindrome (451484154).

The spelling of 221440032 in words is "two hundred twenty-one million, four hundred forty thousand, thirty-two".