224005200000 has 192 divisors, whose sum is σ = 743723648640. Its totient is φ = 59734400000.

The previous prime is 224005199993. The next prime is 224005200073. The reversal of 224005200000 is 2500422.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106665 + ... + 1293335.

It is an arithmetic number, because the mean of its divisors is an integer number (3873560670).

Almost surely, 2^224005200000 is an apocalyptic number.

224005200000 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 224005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371861824320).

224005200000 is an abundant number, since it is smaller than the sum of its proper divisors (519718448640).

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

224005200000 is an frugal number, since it uses more digits than its factorization.

224005200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186713 (or 186681 counting only the distinct ones).

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

Adding to 224005200000 its reverse (2500422), we get a palindrome (224007700422).

The spelling of 224005200000 in words is "two hundred twenty-four billion, five million, two hundred thousand".