221042832 has 80 divisors (see below), whose sum is σ = 583593600. Its totient is φ = 72078336.

The previous prime is 221042831. The next prime is 221042837. The reversal of 221042832 is 238240122.

221042832 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 (221042831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697138 + ... + 697454.

It is an arithmetic number, because the mean of its divisors is an integer number (7294920).

Almost surely, 2^221042832 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 221042832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291796800).

221042832 is an abundant number, since it is smaller than the sum of its proper divisors (362550768).

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

221042832 is a wasteful number, since it uses less digits than its factorization.

221042832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

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

The square root of 221042832 is about 14867.5092735804. The cubic root of 221042832 is about 604.6334158800.

Adding to 221042832 its reverse (238240122), we get a palindrome (459282954).

The spelling of 221042832 in words is "two hundred twenty-one million, forty-two thousand, eight hundred thirty-two".