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229863696512 = 2731213672
BaseRepresentation
bin1101011000010011110…
…0011010100010000000
3210222022121002122122012
43112010330122202000
512231230101242022
6253333052432052
722415144116412
oct3260474324200
9728277078565
10229863696512
118953707841a
1238670a78628
13188a339c608
14b1a83a89b2
155ea5126de2
hex3584f1a880

229863696512 has 72 divisors (see below), whose sum is σ = 473526483255. Its totient is φ = 111143005440.

The previous prime is 229863696511. The next prime is 229863696539. The reversal of 229863696512 is 215696368922.

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., 114931848256 + 114931848256 = 339016^2 + 339016^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=339016.

It is a super-2 number, since 2×2298636965122 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229863696511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 168151253 + ... + 168152619.

Almost surely, 2229863696512 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 229863696512

229863696512 is an abundant number, since it is smaller than the sum of its proper divisors (243662786743).

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

229863696512 is an frugal number, since it uses more digits than its factorization.

229863696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 1400 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 59.

The spelling of 229863696512 in words is "two hundred twenty-nine billion, eight hundred sixty-three million, six hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1367 1922 1984 2734 3844 3968 5468 7688 10936 15376 21872 30752 42377 43744 61504 84754 87488 123008 169508 174976 339016 678032 1313687 1356064 1868689 2627374 2712128 3737378 5254748 5424256 7474756 10509496 14949512 21018992 29899024 42037984 57929359 59798048 84075968 115858718 119596096 168151936 231717436 239192192 463434872 926869744 1795810129 1853739488 3591620258 3707478976 7183240516 7414957952 14366481032 28732962064 57465924128 114931848256 229863696512