221425040 has 40 divisors (see below), whose sum is σ = 517516728. Its totient is φ = 88104960.

The previous prime is 221425021. The next prime is 221425079. The reversal of 221425040 is 40524122.

It is a happy number.

221425040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4393216 + 217031824 = 2096^2 + 14732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 8270 + ... + 22610.

Almost surely, 2^221425040 is an apocalyptic number.

221425040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221425040 is an abundant number, since it is smaller than the sum of its proper divisors (296091688).

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

221425040 is a wasteful number, since it uses less digits than its factorization.

221425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14547 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 221425040 is about 14880.3575225866. The cubic root of 221425040 is about 604.9817083466.

Adding to 221425040 its reverse (40524122), we get a palindrome (261949162).

The spelling of 221425040 in words is "two hundred twenty-one million, four hundred twenty-five thousand, forty".