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232214545144512 = 2634723701247007
BaseRepresentation
bin110100110011001010101001…
…011110011001101011000000
31010110012111022220201020210000
4310303022221132121223000
5220414100342024111022
62141513520032440000
766624642622114200
oct6463125136315300
91113174286636700
10232214545144512
1167a996a9a05777
12220648993a9000
139c759787c0938
14414b35b5a2400
151bca6771d26ac
hexd332a9799ac0

232214545144512 has 420 divisors, whose sum is σ = 800961019303104. Its totient is φ = 66328817587200.

The previous prime is 232214545144487. The next prime is 232214545144513. The reversal of 232214545144512 is 215441545412232.

It is a happy number.

232214545144512 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 1 + 45 + 4 + 51 + 44 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (232214545144513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 939989713 + ... + 940236719.

Almost surely, 2232214545144512 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 232214545144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400480509651552).

232214545144512 is an abundant number, since it is smaller than the sum of its proper divisors (568746474158592).

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

232214545144512 is a wasteful number, since it uses less digits than its factorization.

232214545144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250746 (or 250720 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The spelling of 232214545144512 in words is "two hundred thirty-two trillion, two hundred fourteen billion, five hundred forty-five million, one hundred forty-four thousand, five hundred twelve".