224224011000 has 384 divisors, whose sum is σ = 854410939200. Its totient is φ = 54356544000.

The previous prime is 224224010971. The next prime is 224224011029. The reversal of 224224011000 is 110422422.

224224011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224224010971) and next prime (224224011029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3232684 + ... + 3301316.

Almost surely, 2^224224011000 is an apocalyptic number.

224224011000 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 224224011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427205469600).

224224011000 is an abundant number, since it is smaller than the sum of its proper divisors (630186928200).

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

224224011000 is a wasteful number, since it uses less digits than its factorization.

224224011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68685 (or 68654 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 224224011000 its reverse (110422422), we get a palindrome (224334433422).

The spelling of 224224011000 in words is "two hundred twenty-four billion, two hundred twenty-four million, eleven thousand".