224040322240 has 56 divisors (see below), whose sum is σ = 609709740192. Its totient is φ = 76813824000.

The previous prime is 224040322183. The next prime is 224040322273. The reversal of 224040322240 is 42223040422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50006761 + ... + 50011240.

It is an arithmetic number, because the mean of its divisors is an integer number (10887673932).

Almost surely, 2^224040322240 is an apocalyptic number.

224040322240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224040322240 is an abundant number, since it is smaller than the sum of its proper divisors (385669417952).

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

224040322240 is a wasteful number, since it uses less digits than its factorization.

224040322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100018025 (or 100018015 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 224040322240 its reverse (42223040422), we get a palindrome (266263362662).

The spelling of 224040322240 in words is "two hundred twenty-four billion, forty million, three hundred twenty-two thousand, two hundred forty".