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224425168250112 = 28321271484351673
BaseRepresentation
bin110011000001110100001110…
…011011101010010100000000
31002102121211120211212012201200
4303001310032123222110000
5213403440221033000422
62113151255440501200
765162116612005204
oct6301641633522400
91072554524765650
10224425168250112
11655661a77a8155
122120712691a800
13982c28303185b
143d5c343c06b04
151ae2c311332ac
hexcc1d0e6ea500

224425168250112 has 216 divisors, whose sum is σ = 652224710452224. Its totient is φ = 74212910456832.

The previous prime is 224425168250077. The next prime is 224425168250159. The reversal of 224425168250112 is 211052861524422.

224425168250112 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 2 + 51 + 6 + 82 + 501 + 12 = 666.

It is a super-3 number, since 3×2244251682501123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4343154708 + ... + 4343206380.

Almost surely, 2224425168250112 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 224425168250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326112355226112).

224425168250112 is an abundant number, since it is smaller than the sum of its proper divisors (427799542202112).

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

224425168250112 is a wasteful number, since it uses less digits than its factorization.

224425168250112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66665 (or 66648 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 224425168250112 in words is "two hundred twenty-four trillion, four hundred twenty-five billion, one hundred sixty-eight million, two hundred fifty thousand, one hundred twelve".