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229109238773136 = 24362921116271973
BaseRepresentation
bin110100000101111110100110…
…110010101011010110010000
31010001012121222202221001000000
4310011332212302223112100
5220012211210111220021
62131135155320130000
766154411342350111
oct6405764662532620
91101177882831000
10229109238773136
1167001756470607
1221842aa4606900
139aabba70038a7
144080d369d6208
151b749cc980b26
hexd05fa6cab590

229109238773136 has 560 divisors, whose sum is σ = 692533075671360. Its totient is φ = 73304567239680.

The previous prime is 229109238773123. The next prime is 229109238773167. The reversal of 229109238773136 is 631377832901922.

229109238773136 is a `hidden beast` number, since 2 + 2 + 9 + 10 + 9 + 238 + 77 + 313 + 6 = 666.

229109238773136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 116122269046 + ... + 116122271018.

It is an arithmetic number, because the mean of its divisors is an integer number (1236666206556).

Almost surely, 2229109238773136 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 229109238773136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346266537835680).

229109238773136 is an abundant number, since it is smaller than the sum of its proper divisors (463423836898224).

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

229109238773136 is a wasteful number, since it uses less digits than its factorization.

229109238773136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 229109238773136 in words is "two hundred twenty-nine trillion, one hundred nine billion, two hundred thirty-eight million, seven hundred seventy-three thousand, one hundred thirty-six".