Base | Representation |
---|---|
bin | 1100111111001011010… |
… | …1000111110100100000 |
3 | 210022220102122102211112 |
4 | 3033302311013310200 |
5 | 12123421020002112 |
6 | 250255415002452 |
7 | 22056025063322 |
oct | 3176265076440 |
9 | 708812572745 |
10 | 223117344032 |
11 | 86694a18a00 |
12 | 372a9669428 |
13 | 180697b537b |
14 | ab283d7612 |
15 | 5c0cc12a22 |
hex | 33f2d47d20 |
223117344032 has 54 divisors (see below), whose sum is σ = 482889084867. Its totient is φ = 101403614400.
The previous prime is 223117344017. The next prime is 223117344053. The reversal of 223117344032 is 230443711322.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 111558672016 + 111558672016 = 334004^2 + 334004^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=334004.
It is a super-3 number, since 3×2231173440323 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 223117344032.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29388557 + ... + 29396147.
Almost surely, 2223117344032 is an apocalyptic number.
223117344032 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 223117344032
223117344032 is an abundant number, since it is smaller than the sum of its proper divisors (259771740835).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223117344032 is an frugal number, since it uses more digits than its factorization.
223117344032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15214 (or 7604 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 32.
Multiplying 223117344032 by its sum of digits (32), we get a square (7139755009024 = 26720322).
223117344032 divided by its sum of digits (32) gives a square (6972417001 = 835012).
The spelling of 223117344032 in words is "two hundred twenty-three billion, one hundred seventeen million, three hundred forty-four thousand, thirty-two".
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