224317621000 has 128 divisors (see below), whose sum is σ = 573506593920. Its totient is φ = 81444000000.

The previous prime is 224317620997. The next prime is 224317621007. The reversal of 224317621000 is 126713422.

It is a self number, because there is not a number n which added to its sum of digits gives 224317621000.

It is not an unprimeable number, because it can be changed into a prime (224317621007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7255575 + ... + 7286425.

It is an arithmetic number, because the mean of its divisors is an integer number (4480520265).

Almost surely, 2^224317621000 is an apocalyptic number.

224317621000 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 224317621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286753296960).

224317621000 is an abundant number, since it is smaller than the sum of its proper divisors (349188972920).

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

224317621000 is a wasteful number, since it uses less digits than its factorization.

224317621000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31544 (or 31530 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 224317621000 in words is "two hundred twenty-four billion, three hundred seventeen million, six hundred twenty-one thousand".