224102023440 has 160 divisors (see below), whose sum is σ = 705623218176. Its totient is φ = 58823677440.

The previous prime is 224102023427. The next prime is 224102023459. The reversal of 224102023440 is 44320201422.

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 224102023440.

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 31 ways as a sum of consecutive naturals, for example, 24613929 + ... + 24623031.

Almost surely, 2^224102023440 is an apocalyptic number.

224102023440 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 224102023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352811609088).

224102023440 is an abundant number, since it is smaller than the sum of its proper divisors (481521194736).

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

224102023440 is a wasteful number, since it uses less digits than its factorization.

224102023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224102023440 its reverse (44320201422), we get a palindrome (268422224862).

The spelling of 224102023440 in words is "two hundred twenty-four billion, one hundred two million, twenty-three thousand, four hundred forty".