221003328 has 252 divisors, whose sum is σ = 741852720. Its totient is φ = 57867264.

The previous prime is 221003323. The next prime is 221003329. The reversal of 221003328 is 823300122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221003323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589883 + ... + 1590021.

It is an arithmetic number, because the mean of its divisors is an integer number (2943860).

Almost surely, 2^221003328 is an apocalyptic number.

221003328 is a gapful number since it is divisible by the number (28) 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 221003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370926360).

221003328 is an abundant number, since it is smaller than the sum of its proper divisors (520849392).

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

221003328 is a wasteful number, since it uses less digits than its factorization.

221003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 221003328 is about 14866.1806796500. The cubic root of 221003328 is about 604.5973944126.

The spelling of 221003328 in words is "two hundred twenty-one million, three thousand, three hundred twenty-eight".