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229001680563840 = 27325141972800397
BaseRepresentation
bin110100000100011010011011…
…110100101010111010000000
31010000211100100212011212202200
4310010122123310222322000
5220003430420211020330
62131013530354313200
766143553060560022
oct6404323364527200
91100740325155680
10229001680563840
1166a70081686a48
1221826087588800
139aa19c5665272
144079a51c30012
151b71cd4e16a60
hexd0469bd2ae80

229001680563840 has 192 divisors, whose sum is σ = 790827410491560. Its totient is φ = 61062791602176.

The previous prime is 229001680563839. The next prime is 229001680563841. The reversal of 229001680563840 is 48365086100922.

229001680563840 is a `hidden beast` number, since 2 + 29 + 0 + 0 + 16 + 8 + 0 + 563 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (229001680563839) and next prime (229001680563841).

It can be written as a sum of positive squares in 4 ways, for example, as 180683277655104 + 48318402908736 = 13441848^2 + 6951144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (229001680563841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80374522 + ... + 83174918.

Almost surely, 2229001680563840 is an apocalyptic number.

229001680563840 is a gapful number since it is divisible by the number (20) 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 229001680563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395413705245780).

229001680563840 is an abundant number, since it is smaller than the sum of its proper divisors (561825729927720).

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

229001680563840 is a wasteful number, since it uses less digits than its factorization.

229001680563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814619 (or 2814604 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 229001680563840 in words is "two hundred twenty-nine trillion, one billion, six hundred eighty million, five hundred sixty-three thousand, eight hundred forty".