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430228300832 = 251128321272
BaseRepresentation
bin1100100001010111001…
…10101110010000100000
31112010111100110011020022
412100223212232100200
524022101421111312
6525351045333012
743040313134651
oct6205346562040
91463440404208
10430228300832
11156505729200
126b46a707168
13317550b9195
1416b74a79528
15b2d05bc172
hex642b9ae420

430228300832 has 162 divisors, whose sum is σ = 949843951119. Its totient is φ = 191680917120.

The previous prime is 430228300813. The next prime is 430228300867. The reversal of 430228300832 is 238003822034.

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.

It can be written as a sum of positive squares in only one way, i.e., 215114150416 + 215114150416 = 463804^2 + 463804^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=463804.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430228300792 and 430228300801.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3387624353 + ... + 3387624479.

Almost surely, 2430228300832 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 430228300832

430228300832 is an abundant number, since it is smaller than the sum of its proper divisors (519615650287).

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

430228300832 is an equidigital number, since it uses as much as digits as its factorization.

430228300832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 430228300832 in words is "four hundred thirty billion, two hundred twenty-eight million, three hundred thousand, eight hundred thirty-two".