221048352 has 288 divisors, whose sum is σ = 774918144. Its totient is φ = 60652800.

The previous prime is 221048327. The next prime is 221048357. The reversal of 221048352 is 253840122.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221048357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687327 + ... + 1687457.

It is an arithmetic number, because the mean of its divisors is an integer number (2690688).

Almost surely, 2^221048352 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 221048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387459072).

221048352 is an abundant number, since it is smaller than the sum of its proper divisors (553869792).

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

221048352 is a wasteful number, since it uses less digits than its factorization.

221048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 221048352 is about 14867.6949121241. The cubic root of 221048352 is about 604.6384489146.

Adding to 221048352 its reverse (253840122), we get a palindrome (474888474).

The spelling of 221048352 in words is "two hundred twenty-one million, forty-eight thousand, three hundred fifty-two".