224225257536 has 560 divisors, whose sum is σ = 816049168000. Its totient is φ = 60683406336.

The previous prime is 224225257489. The next prime is 224225257559. The reversal of 224225257536 is 635752522422.

224225257536 is a `hidden beast` number, since 2 + 2 + 4 + 22 + 52 + 575 + 3 + 6 = 666.

It is a super-2 number, since 2×224225257536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224225257491 and 224225257500.

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 79 ways as a sum of consecutive naturals, for example, 33780810 + ... + 33787446.

Almost surely, 2^224225257536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224225257536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408024584000).

224225257536 is an abundant number, since it is smaller than the sum of its proper divisors (591823910464).

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

224225257536 is an equidigital number, since it uses as much as digits as its factorization.

224225257536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6668 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

Adding to 224225257536 its reverse (635752522422), we get a palindrome (859977779958).

The spelling of 224225257536 in words is "two hundred twenty-four billion, two hundred twenty-five million, two hundred fifty-seven thousand, five hundred thirty-six".