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229683822986016 = 25327295374125223
BaseRepresentation
bin110100001110010101101110…
…101011100000001100100000
31010010020120002112111022222100
4310032111232223200030200
5220101114432141023031
62132255142554010400
766244052151520320
oct6416255653401440
91103216075438870
10229683822986016
11672033a925a063
122191631b716a00
139b211262495b9
1440a0a835bd280
151b8490b399de6
hexd0e56eae0320

229683822986016 has 288 divisors, whose sum is σ = 786782917589760. Its totient is φ = 62165562181632.

The previous prime is 229683822985997. The next prime is 229683822986063. The reversal of 229683822986016 is 610689228386922.

229683822986016 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 8 + 3 + 8 + 2 + 2 + 9 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33964020 + ... + 40161203.

It is an arithmetic number, because the mean of its divisors is an integer number (2731885130520).

Almost surely, 2229683822986016 is an apocalyptic number.

It is an amenable number.

229683822986016 is an abundant number, since it is smaller than the sum of its proper divisors (557099094603744).

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

229683822986016 is a wasteful number, since it uses less digits than its factorization.

229683822986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74125328 (or 74125317 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 229683822986016 in words is "two hundred twenty-nine trillion, six hundred eighty-three billion, eight hundred twenty-two million, nine hundred eighty-six thousand, sixteen".