221311242240 has 416 divisors, whose sum is σ = 775670138496. Its totient is φ = 53430190080.

The previous prime is 221311242233. The next prime is 221311242241. The reversal of 221311242240 is 42242113122.

221311242240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221311242240.

It is not an unprimeable number, because it can be changed into a prime (221311242241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214240764 + ... + 214241796.

Almost surely, 2^221311242240 is an apocalyptic number.

221311242240 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 221311242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387835069248).

221311242240 is an abundant number, since it is smaller than the sum of its proper divisors (554358896256).

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

221311242240 is a wasteful number, since it uses less digits than its factorization.

221311242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221311242240 its reverse (42242113122), we get a palindrome (263553355362).

The spelling of 221311242240 in words is "two hundred twenty-one billion, three hundred eleven million, two hundred forty-two thousand, two hundred forty".