221541040 has 80 divisors (see below), whose sum is σ = 603086400. Its totient is φ = 74096640.

The previous prime is 221541029. The next prime is 221541049. The reversal of 221541040 is 40145122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 221540999 and 221541017.

It is not an unprimeable number, because it can be changed into a prime (221541049) 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 15 ways as a sum of consecutive naturals, for example, 18136 + ... + 27784.

It is an arithmetic number, because the mean of its divisors is an integer number (7538580).

Almost surely, 2^221541040 is an apocalyptic number.

221541040 is a gapful number since it is divisible by the number (20) 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 221541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301543200).

221541040 is an abundant number, since it is smaller than the sum of its proper divisors (381545360).

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

221541040 is a wasteful number, since it uses less digits than its factorization.

221541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9704 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 221541040 is about 14884.2547680426. The cubic root of 221541040 is about 605.0873357060.

Adding to 221541040 its reverse (40145122), we get a palindrome (261686162).

The spelling of 221541040 in words is "two hundred twenty-one million, five hundred forty-one thousand, forty".