Base | Representation |
---|---|
bin | 110010110000001011100001… |
… | …010110110010110101110000 |
3 | 1002021022222100212112020202200 |
4 | 302300023201112302311300 |
5 | 213224111144143102003 |
6 | 2110422424240143200 |
7 | 65005423645151250 |
oct | 6260134126626560 |
9 | 1067288325466680 |
10 | 223213231222128 |
11 | 65139221960284 |
12 | 21050277607b00 |
13 | 9771bc065cca4 |
14 | 3d198141b3960 |
15 | 1ac144d4b56a3 |
hex | cb02e15b2d70 |
223213231222128 has 120 divisors (see below), whose sum is σ = 714764997299808. Its totient is φ = 63700442896896.
The previous prime is 223213231222057. The next prime is 223213231222129. The reversal of 223213231222128 is 821222132312322.
223213231222128 is a `hidden beast` number, since 2 + 2 + 3 + 213 + 2 + 312 + 2 + 2 + 128 = 666.
It is a super-3 number, since 3×2232132312221283 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 223213231222092 and 223213231222101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223213231222129) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128941875 + ... + 130661522.
Almost surely, 2223213231222128 is an apocalyptic number.
223213231222128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
223213231222128 is an abundant number, since it is smaller than the sum of its proper divisors (491551766077680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223213231222128 is a wasteful number, since it uses less digits than its factorization.
223213231222128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 259604271 (or 259604262 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The spelling of 223213231222128 in words is "two hundred twenty-three trillion, two hundred thirteen billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty-eight".
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