224302241440 has 48 divisors (see below), whose sum is σ = 530832659112. Its totient is φ = 89565364224.

The previous prime is 224302241431. The next prime is 224302241453. The reversal of 224302241440 is 44142203422.

It can be written as a sum of positive squares in 4 ways, for example, as 188158147984 + 36144093456 = 433772^2 + 190116^2 .

It is a super-2 number, since 2×224302241440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224302241399 and 224302241408.

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 7 ways as a sum of consecutive naturals, for example, 1122489 + ... + 1307128.

Almost surely, 2^224302241440 is an apocalyptic number.

224302241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224302241440 is an abundant number, since it is smaller than the sum of its proper divisors (306530417672).

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

224302241440 is a wasteful number, since it uses less digits than its factorization.

224302241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430209 (or 2430201 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 224302241440 its reverse (44142203422), we get a palindrome (268444444862).

The spelling of 224302241440 in words is "two hundred twenty-four billion, three hundred two million, two hundred forty-one thousand, four hundred forty".