224024535000 has 800 divisors, whose sum is σ = 943497984000. Its totient is φ = 48498912000.

The previous prime is 224024534971. The next prime is 224024535037. The reversal of 224024535000 is 535420422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 53862921 + ... + 53867079.

It is an arithmetic number, because the mean of its divisors is an integer number (1179372480).

Almost surely, 2^224024535000 is an apocalyptic number.

224024535000 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 224024535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471748992000).

224024535000 is an abundant number, since it is smaller than the sum of its proper divisors (719473449000).

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

224024535000 is a wasteful number, since it uses less digits than its factorization.

224024535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 224024535000 its reverse (535420422), we get a palindrome (224559955422).

The spelling of 224024535000 in words is "two hundred twenty-four billion, twenty-four million, five hundred thirty-five thousand".