224042022240 has 96 divisors (see below), whose sum is σ = 715672371456. Its totient is φ = 58903057920.

The previous prime is 224042022223. The next prime is 224042022283. The reversal of 224042022240 is 42220240422.

224042022240 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 (96).

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 224042022240.

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 15 ways as a sum of consecutive naturals, for example, 3252922 + ... + 3321081.

It is an arithmetic number, because the mean of its divisors is an integer number (7454920536).

Almost surely, 2^224042022240 is an apocalyptic number.

224042022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224042022240 is an abundant number, since it is smaller than the sum of its proper divisors (491630349216).

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

224042022240 is a wasteful number, since it uses less digits than its factorization.

224042022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574092 (or 6574084 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 224042022240 its reverse (42220240422), we get a palindrome (266262262662).

The spelling of 224042022240 in words is "two hundred twenty-four billion, forty-two million, twenty-two thousand, two hundred forty".