226435724928 has 192 divisors, whose sum is σ = 750544005120. Its totient is φ = 64186214400.

The previous prime is 226435724861. The next prime is 226435724939. The reversal of 226435724928 is 829427534622.

226435724928 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 3 + 572 + 49 + 28 = 666.

226435724928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913578 + ... + 1134678.

It is an arithmetic number, because the mean of its divisors is an integer number (3909083360).

Almost surely, 2^226435724928 is an apocalyptic number.

226435724928 is a gapful number since it is divisible by the number (28) 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 226435724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375272002560).

226435724928 is an abundant number, since it is smaller than the sum of its proper divisors (524108280192).

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

226435724928 is a wasteful number, since it uses less digits than its factorization.

226435724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221255 (or 221240 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 226435724928 in words is "two hundred twenty-six billion, four hundred thirty-five million, seven hundred twenty-four thousand, nine hundred twenty-eight".