224242130000 has 300 divisors, whose sum is σ = 640304927460. Its totient is φ = 75817728000.

The previous prime is 224242129967. The next prime is 224242130023. The reversal of 224242130000 is 31242422.

It can be written as a sum of positive squares in 10 ways, for example, as 183214817296 + 41027312704 = 428036^2 + 202552^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35766866 + ... + 35773134.

Almost surely, 2^224242130000 is an apocalyptic number.

224242130000 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 224242130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320152463730).

224242130000 is an abundant number, since it is smaller than the sum of its proper divisors (416062797460).

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

224242130000 is an equidigital number, since it uses as much as digits as its factorization.

224242130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 224242130000 its reverse (31242422), we get a palindrome (224273372422).

The spelling of 224242130000 in words is "two hundred twenty-four billion, two hundred forty-two million, one hundred thirty thousand".