Base | Representation |
---|---|
bin | 110010101110001011000110… |
… | …100111110000110111000100 |
3 | 1002020211210110020212222222221 |
4 | 302232023012213300313010 |
5 | 213214331300443412124 |
6 | 2110235222000502124 |
7 | 64662442654631320 |
oct | 6256130647606704 |
9 | 1066753406788887 |
10 | 223075343732164 |
11 | 650957a3a7a200 |
12 | 210295b531a944 |
13 | 9761bb7649041 |
14 | 3d12c9336a980 |
15 | 1abca7ce7cce4 |
hex | cae2c69f0dc4 |
223075343732164 has 144 divisors (see below), whose sum is σ = 497149465657600. Its totient is φ = 85715913000960.
The previous prime is 223075343732141. The next prime is 223075343732177. The reversal of 223075343732164 is 461237343570322.
223075343732164 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 3×2230753437321643 (a number of 44 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5473012417 + ... + 5473053175.
Almost surely, 2223075343732164 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 223075343732164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248574732828800).
223075343732164 is an abundant number, since it is smaller than the sum of its proper divisors (274074121925436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223075343732164 is a wasteful number, since it uses less digits than its factorization.
223075343732164 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62994 (or 62981 counting only the distinct ones).
The product of its (nonzero) digits is 15240960, while the sum is 52.
The spelling of 223075343732164 in words is "two hundred twenty-three trillion, seventy-five billion, three hundred forty-three million, seven hundred thirty-two thousand, one hundred sixty-four".
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