224014400234200 has 96 divisors (see below), whose sum is σ = 525921586185600. Its totient is φ = 88731356221440.

The previous prime is 224014400234189. The next prime is 224014400234221. The reversal of 224014400234200 is 2432004410422.

It is a super-3 number, since 3×224014400234200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33966937 + ... + 40022263.

It is an arithmetic number, because the mean of its divisors is an integer number (5478349856100).

Almost surely, 2^{224014400234200} is an apocalyptic number.

224014400234200 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 224014400234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262960793092800).

224014400234200 is an abundant number, since it is smaller than the sum of its proper divisors (301907185951400).

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

224014400234200 is a wasteful number, since it uses less digits than its factorization.

224014400234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057149 (or 6057140 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 224014400234200 its reverse (2432004410422), we get a palindrome (226446404644622).

The spelling of 224014400234200 in words is "two hundred twenty-four trillion, fourteen billion, four hundred million, two hundred thirty-four thousand, two hundred".