221300240240 has 40 divisors (see below), whose sum is σ = 514987217280. Its totient is φ = 88440240896.

The previous prime is 221300240233. The next prime is 221300240263. The reversal of 221300240240 is 42042003122.

221300240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158464 + ... + 1335903.

It is an arithmetic number, because the mean of its divisors is an integer number (12874680432).

Almost surely, 2^221300240240 is an apocalyptic number.

221300240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221300240240 is an abundant number, since it is smaller than the sum of its proper divisors (293686977040).

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

221300240240 is a wasteful number, since it uses less digits than its factorization.

221300240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495489 (or 2495483 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 221300240240 its reverse (42042003122), we get a palindrome (263342243362).

The spelling of 221300240240 in words is "two hundred twenty-one billion, three hundred million, two hundred forty thousand, two hundred forty".