221148048 has 160 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 63475200.

The previous prime is 221148047. The next prime is 221148071. The reversal of 221148048 is 840841122.

221148048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221148041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965598 + ... + 965826.

It is an arithmetic number, because the mean of its divisors is an integer number (4106880).

Almost surely, 2^221148048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221148048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

221148048 is an abundant number, since it is smaller than the sum of its proper divisors (435952752).

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

221148048 is a wasteful number, since it uses less digits than its factorization.

221148048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 221148048 is about 14871.0473067636. The cubic root of 221148048 is about 604.7293354773.

The spelling of 221148048 in words is "two hundred twenty-one million, one hundred forty-eight thousand, forty-eight".