224240540340 has 96 divisors (see below), whose sum is σ = 665147839104. Its totient is φ = 56251146240.

The previous prime is 224240540317. The next prime is 224240540351. The reversal of 224240540340 is 43045042422.

224240540340 is digitally balanced in base 2, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 224240540298 and 224240540307.

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 31 ways as a sum of consecutive naturals, for example, 1971420 + ... + 2082060.

It is an arithmetic number, because the mean of its divisors is an integer number (6928623324).

Almost surely, 2^224240540340 is an apocalyptic number.

224240540340 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 224240540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332573919552).

224240540340 is an abundant number, since it is smaller than the sum of its proper divisors (440907298764).

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

224240540340 is a wasteful number, since it uses less digits than its factorization.

224240540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112657 (or 112655 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 224240540340 its reverse (43045042422), we get a palindrome (267285582762).

The spelling of 224240540340 in words is "two hundred twenty-four billion, two hundred forty million, five hundred forty thousand, three hundred forty".