221313224040 has 256 divisors, whose sum is σ = 684030147840. Its totient is φ = 57262080000.

The previous prime is 221313224021. The next prime is 221313224051. The reversal of 221313224040 is 40422313122.

It is a happy number.

221313224040 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 221313224040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345262120 + ... + 345262760.

It is an arithmetic number, because the mean of its divisors is an integer number (2671992765).

Almost surely, 2^221313224040 is an apocalyptic number.

221313224040 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 221313224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342015073920).

221313224040 is an abundant number, since it is smaller than the sum of its proper divisors (462716923800).

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

221313224040 is a wasteful number, since it uses less digits than its factorization.

221313224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221313224040 its reverse (40422313122), we get a palindrome (261735537162).

The spelling of 221313224040 in words is "two hundred twenty-one billion, three hundred thirteen million, two hundred twenty-four thousand, forty".