224312203040 has 96 divisors (see below), whose sum is σ = 555875260416. Its totient is φ = 85374192640.

The previous prime is 224312203009. The next prime is 224312203051. The reversal of 224312203040 is 40302213422.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 224312202997 and 224312203015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543314 + ... + 862446.

It is an arithmetic number, because the mean of its divisors is an integer number (5790367296).

Almost surely, 2^224312203040 is an apocalyptic number.

224312203040 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 224312203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277937630208).

224312203040 is an abundant number, since it is smaller than the sum of its proper divisors (331563057376).

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

224312203040 is a wasteful number, since it uses less digits than its factorization.

224312203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319362 (or 319354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 224312203040 its reverse (40302213422), we get a palindrome (264614416462).

The spelling of 224312203040 in words is "two hundred twenty-four billion, three hundred twelve million, two hundred three thousand, forty".