224052000000 has 252 divisors, whose sum is σ = 745411708608. Its totient is φ = 59744000000.

The previous prime is 224051999999. The next prime is 224052000017. The reversal of 224052000000 is 250422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 11990665 + ... + 12009335.

Almost surely, 2^224052000000 is an apocalyptic number.

224052000000 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 224052000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372705854304).

224052000000 is an abundant number, since it is smaller than the sum of its proper divisors (521359708608).

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

224052000000 is an frugal number, since it uses more digits than its factorization.

224052000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 224052000000 its reverse (250422), we get a palindrome (224052250422).

The spelling of 224052000000 in words is "two hundred twenty-four billion, fifty-two million", and thus it is an aban number.