224113214000 has 160 divisors (see below), whose sum is σ = 590154102720. Its totient is φ = 81818880000.

The previous prime is 224113213999. The next prime is 224113214047. The reversal of 224113214000 is 412311422.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2265575 + ... + 2362425.

It is an arithmetic number, because the mean of its divisors is an integer number (3688463142).

Almost surely, 2^224113214000 is an apocalyptic number.

224113214000 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 224113214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295077051360).

224113214000 is an abundant number, since it is smaller than the sum of its proper divisors (366040888720).

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

224113214000 is a wasteful number, since it uses less digits than its factorization.

224113214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96976 (or 96960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 224113214000 its reverse (412311422), we get a palindrome (224525525422).

The spelling of 224113214000 in words is "two hundred twenty-four billion, one hundred thirteen million, two hundred fourteen thousand".