224001432240 has 160 divisors (see below), whose sum is σ = 711470462976. Its totient is φ = 58273889280.

The previous prime is 224001432223. The next prime is 224001432289. The reversal of 224001432240 is 42234100422.

It is a super-2 number, since 2×224001432240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224001432240.

It is an unprimeable number.

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, 3476154 + ... + 3540006.

Almost surely, 2^224001432240 is an apocalyptic number.

224001432240 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 224001432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355735231488).

224001432240 is an abundant number, since it is smaller than the sum of its proper divisors (487469030736).

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

224001432240 is a wasteful number, since it uses less digits than its factorization.

224001432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64227 (or 64221 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224001432240 its reverse (42234100422), we get a palindrome (266235532662).

The spelling of 224001432240 in words is "two hundred twenty-four billion, one million, four hundred thirty-two thousand, two hundred forty".