224002224040 has 96 divisors (see below), whose sum is σ = 586577845800. Its totient is φ = 76763258880.

The previous prime is 224002224037. The next prime is 224002224097. The reversal of 224002224040 is 40422200422.

It is a happy number.

224002224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 142746441124 + 81255782916 = 377818^2 + 285054^2 .

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 23 ways as a sum of consecutive naturals, for example, 4146000 + ... + 4199680.

Almost surely, 2^224002224040 is an apocalyptic number.

224002224040 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 224002224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293288922900).

224002224040 is an abundant number, since it is smaller than the sum of its proper divisors (362575621760).

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

224002224040 is a wasteful number, since it uses less digits than its factorization.

224002224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55835 (or 55824 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 224002224040 its reverse (40422200422), we get a palindrome (264424424462).

The spelling of 224002224040 in words is "two hundred twenty-four billion, two million, two hundred twenty-four thousand, forty".