224300231004240 has 320 divisors, whose sum is σ = 793530855774720. Its totient is φ = 58192388997120.

The previous prime is 224300231004229. The next prime is 224300231004253. The reversal of 224300231004240 is 42400132003422.

224300231004240 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 0 + 0 + 231 + 0 + 0 + 424 + 0 = 666.

It is a super-3 number, since 3×224300231004240³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124454592 + ... + 1124654048.

It is an arithmetic number, because the mean of its divisors is an integer number (2479783924296).

Almost surely, 2^{224300231004240} is an apocalyptic number.

224300231004240 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 224300231004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396765427887360).

224300231004240 is an abundant number, since it is smaller than the sum of its proper divisors (569230624770480).

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

224300231004240 is a wasteful number, since it uses less digits than its factorization.

224300231004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213587 (or 213575 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224300231004240 its reverse (42400132003422), we get a palindrome (266700363007662).

The spelling of 224300231004240 in words is "two hundred twenty-four trillion, three hundred billion, two hundred thirty-one million, four thousand, two hundred forty".