226429505352 has 324 divisors, whose sum is σ = 667972784115. Its totient is φ = 71951600160.

The previous prime is 226429505347. The next prime is 226429505359. The reversal of 226429505352 is 253505924622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226429505352 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 295 + 0 + 5 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113214752676 + 113214752676 = 336474^2 + 336474^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336474.

It is a junction number, because it is equal to n+sod(n) for n = 226429505298 and 226429505307.

It is not an unprimeable number, because it can be changed into a prime (226429505359) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3379544823 + ... + 3379544889.

Almost surely, 2^226429505352 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 226429505352

226429505352 is an abundant number, since it is smaller than the sum of its proper divisors (441543278763).

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

226429505352 is an frugal number, since it uses more digits than its factorization.

226429505352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 226429505352 in words is "two hundred twenty-six billion, four hundred twenty-nine million, five hundred five thousand, three hundred fifty-two".