224159223120 has 160 divisors (see below), whose sum is σ = 795758592000. Its totient is φ = 51133524480.

The previous prime is 224159223091. The next prime is 224159223137. The reversal of 224159223120 is 21322951422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704625 + ... + 972015.

It is an arithmetic number, because the mean of its divisors is an integer number (4973491200).

Almost surely, 2^224159223120 is an apocalyptic number.

224159223120 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 224159223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397879296000).

224159223120 is an abundant number, since it is smaller than the sum of its proper divisors (571599368880).

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

224159223120 is a wasteful number, since it uses less digits than its factorization.

224159223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267913 (or 267907 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 224159223120 in words is "two hundred twenty-four billion, one hundred fifty-nine million, two hundred twenty-three thousand, one hundred twenty".