224435400320 has 32 divisors (see below), whose sum is σ = 536540880420. Its totient is φ = 89774159872.

The previous prime is 224435400311. The next prime is 224435400391. The reversal of 224435400320 is 23004534422.

It is a happy number.

224435400320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 220156147264 + 4279253056 = 469208^2 + 65416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×224435400320² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175339517 + ... + 175340796.

Almost surely, 2^224435400320 is an apocalyptic number.

224435400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224435400320 is an abundant number, since it is smaller than the sum of its proper divisors (312105480100).

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

224435400320 is an equidigital number, since it uses as much as digits as its factorization.

224435400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350680332 (or 350680320 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 224435400320 its reverse (23004534422), we get a palindrome (247439934742).

The spelling of 224435400320 in words is "two hundred twenty-four billion, four hundred thirty-five million, four hundred thousand, three hundred twenty".