224031002000 has 160 divisors (see below), whose sum is σ = 585261811680. Its totient is φ = 82451865600.

The previous prime is 224031001979. The next prime is 224031002047. The reversal of 224031002000 is 200130422.

It can be written as a sum of positive squares in 16 ways, for example, as 223430163856 + 600838144 = 472684^2 + 24512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8124236 + ... + 8151764.

It is an arithmetic number, because the mean of its divisors is an integer number (3657886323).

Almost surely, 2^224031002000 is an apocalyptic number.

224031002000 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 224031002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292630905840).

224031002000 is an abundant number, since it is smaller than the sum of its proper divisors (361230809680).

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

224031002000 is a wasteful number, since it uses less digits than its factorization.

224031002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27878 (or 27862 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 224031002000 its reverse (200130422), we get a palindrome (224231132422).

The spelling of 224031002000 in words is "two hundred twenty-four billion, thirty-one million, two thousand".