Base | Representation |
---|---|
bin | 110010110000001010100101… |
… | …001001001100001111111110 |
3 | 1002021022212202110122211101200 |
4 | 302300022211021030033332 |
5 | 213224102112040220410 |
6 | 2110422140112120330 |
7 | 65005356630462045 |
oct | 6260124511141776 |
9 | 1067285673584350 |
10 | 223212221023230 |
11 | 6513885370095a |
12 | 210500352360a6 |
13 | 9771a8c29186a |
14 | 3d19759d6d55c |
15 | 1ac13de96c3c0 |
hex | cb02a524c3fe |
223212221023230 has 48 divisors (see below), whose sum is σ = 584921473703424. Its totient is φ = 59054571858240.
The previous prime is 223212221023153. The next prime is 223212221023241. The reversal of 223212221023230 is 32320122212322.
223212221023230 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 122 + 210 + 2 + 323 + 0 = 666.
It is a super-3 number, since 3×2232122210232303 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 223212221023194 and 223212221023203.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9764302701 + ... + 9764325560.
It is an arithmetic number, because the mean of its divisors is an integer number (12185864035488).
Almost surely, 2223212221023230 is an apocalyptic number.
223212221023230 is an abundant number, since it is smaller than the sum of its proper divisors (361709252680194).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223212221023230 is a wasteful number, since it uses less digits than its factorization.
223212221023230 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19528628401 (or 19528628398 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 223212221023230 its reverse (32320122212322), we get a palindrome (255532343235552).
The spelling of 223212221023230 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred twenty-one million, twenty-three thousand, two hundred thirty".
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