221344008 has 32 divisors (see below), whose sum is σ = 572443200. Its totient is φ = 71236928.

The previous prime is 221344007. The next prime is 221344031. The reversal of 221344008 is 800443122.

221344008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221344001) 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 7 ways as a sum of consecutive naturals, for example, 158316 + ... + 159707.

It is an arithmetic number, because the mean of its divisors is an integer number (17888850).

Almost surely, 2^221344008 is an apocalyptic number.

It is an amenable number.

221344008 is an abundant number, since it is smaller than the sum of its proper divisors (351099192).

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

221344008 is a wasteful number, since it uses less digits than its factorization.

221344008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318061 (or 318057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 221344008 is about 14877.6344893938. The cubic root of 221344008 is about 604.9079002849.

The spelling of 221344008 in words is "two hundred twenty-one million, three hundred forty-four thousand, eight".