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229126589568 = 273615672
BaseRepresentation
bin1101010101100100000…
…0100100110010000000
3210220102020002202000000
43111121000210302000
512223222401331233
6253132002000000
722360653606522
oct3253100446200
9726366082000
10229126589568
1189198a94028
12384a6046000
13187b676a466
14b138531a12
155e60574d13
hex3559024c80

229126589568 has 168 divisors, whose sum is σ = 684818641755. Its totient is φ = 76326789888.

The previous prime is 229126589557. The next prime is 229126589569. The reversal of 229126589568 is 865985621922.

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.

229126589568 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 2 + 65 + 8 + 9 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114563294784 + 114563294784 = 338472^2 + 338472^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338472.

It is not an unprimeable number, because it can be changed into a prime (229126589569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 146219121 + ... + 146220687.

Almost surely, 2229126589568 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 229126589568

229126589568 is an abundant number, since it is smaller than the sum of its proper divisors (455692052187).

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

229126589568 is an frugal number, since it uses more digits than its factorization.

229126589568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 1572 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 229126589568 in words is "two hundred twenty-nine billion, one hundred twenty-six million, five hundred eighty-nine thousand, five hundred sixty-eight".