221049504 has 288 divisors, whose sum is σ = 752903424. Its totient is φ = 60825600.

The previous prime is 221049497. The next prime is 221049511. The reversal of 221049504 is 405940122.

221049504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221049497) and next prime (221049511).

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

It is a congruent number.

It is an unprimeable number.

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, 1463829 + ... + 1463979.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^221049504 is an apocalyptic number.

221049504 is a gapful number since it is divisible by the number (24) 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 221049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

221049504 is an abundant number, since it is smaller than the sum of its proper divisors (531853920).

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

221049504 is a wasteful number, since it uses less digits than its factorization.

221049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 221049504 is about 14867.7336537887. The cubic root of 221049504 is about 604.6394992765.

Adding to 221049504 its reverse (405940122), we get a palindrome (626989626).

The spelling of 221049504 in words is "two hundred twenty-one million, forty-nine thousand, five hundred four".