224130351984 has 240 divisors, whose sum is σ = 777987991296. Its totient is φ = 54791116800.

The previous prime is 224130351937. The next prime is 224130352007. The reversal of 224130351984 is 489153031422.

It is a happy number.

224130351984 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 (42).

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 47 ways as a sum of consecutive naturals, for example, 185029 + ... + 694619.

Almost surely, 2^224130351984 is an apocalyptic number.

224130351984 is a gapful number since it is divisible by the number (24) 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 224130351984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388993995648).

224130351984 is an abundant number, since it is smaller than the sum of its proper divisors (553857639312).

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

224130351984 is a wasteful number, since it uses less digits than its factorization.

224130351984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509644 (or 509631 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 224130351984 in words is "two hundred twenty-four billion, one hundred thirty million, three hundred fifty-one thousand, nine hundred eighty-four".