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226987057838112 = 25311133747131181401
BaseRepresentation
bin110011100111000110001010…
…111100110111100000100000
31002202200202021100002121010020
4303213012022330313200200
5214222423443301304422
62122432225333433440
765545162616133345
oct6347061274674040
91082622240077106
10226987057838112
1166363741677970
122155b74249b880
139986a3179a480
14400a3372c67cc
151b396c32e995c
hexce718af37820

226987057838112 has 1536 divisors, whose sum is σ = 745771922767872. Its totient is φ = 59520614400000.

The previous prime is 226987057838083. The next prime is 226987057838113. The reversal of 226987057838112 is 211838750789622.

It is not an unprimeable number, because it can be changed into a prime (226987057838113) 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 255 ways as a sum of consecutive naturals, for example, 566052513112 + ... + 566052513512.

It is an arithmetic number, because the mean of its divisors is an integer number (485528595552).

Almost surely, 2226987057838112 is an apocalyptic number.

226987057838112 is a gapful number since it is divisible by the number (22) 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 226987057838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372885961383936).

226987057838112 is an abundant number, since it is smaller than the sum of its proper divisors (518784864929760).

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

226987057838112 is a wasteful number, since it uses less digits than its factorization.

226987057838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 226987057838112 in words is "two hundred twenty-six trillion, nine hundred eighty-seven billion, fifty-seven million, eight hundred thirty-eight thousand, one hundred twelve".