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223117034112 = 2733729331477
BaseRepresentation
bin1100111111001011001…
…1111100001010000000
3210022220102001200201000
43033302303330022000
512123420430042422
6250255404212000
722056022332630
oct3176263741200
9708812050630
10223117034112
1186694827075
12372a953a000
131806970729b
14ab283566c0
155c0cba0cac
hex33f2cfc280

223117034112 has 256 divisors, whose sum is σ = 755169811200. Its totient is φ = 63528136704.

The previous prime is 223117034081. The next prime is 223117034113. The reversal of 223117034112 is 211430711322.

223117034112 is a `hidden beast` number, since 2 + 2 + 311 + 7 + 0 + 341 + 1 + 2 = 666.

223117034112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231170341123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223117034113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7072518 + ... + 7103994.

It is an arithmetic number, because the mean of its divisors is an integer number (2949882075).

Almost surely, 2223117034112 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 223117034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377584905600).

223117034112 is an abundant number, since it is smaller than the sum of its proper divisors (532052777088).

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

223117034112 is a wasteful number, since it uses less digits than its factorization.

223117034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31800 (or 31782 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 223117034112 its reverse (211430711322), we get a palindrome (434547745434).

The spelling of 223117034112 in words is "two hundred twenty-three billion, one hundred seventeen million, thirty-four thousand, one hundred twelve".