Base | Representation |
---|---|
bin | 110010101110110111101100… |
… | …011001101101100111000100 |
3 | 1002021000101000222201100120102 |
4 | 302232313230121231213010 |
5 | 213221122324342121200 |
6 | 2110313220535023232 |
7 | 64666056306245120 |
oct | 6256675431554704 |
9 | 1067011028640512 |
10 | 223123222223300 |
11 | 65104033153243 |
12 | 2103693780ab18 |
13 | 9766577a09a79 |
14 | 3d15316012580 |
15 | 1abde3145c6d5 |
hex | caedec66d9c4 |
223123222223300 has 288 divisors, whose sum is σ = 588293800286976. Its totient is φ = 71704958976000.
The previous prime is 223123222223273. The next prime is 223123222223311. The reversal of 223123222223300 is 3322222321322.
It is a super-3 number, since 3×2231232222233003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6644312510 + ... + 6644346090.
It is an arithmetic number, because the mean of its divisors is an integer number (2042686806552).
Almost surely, 2223123222223300 is an apocalyptic number.
223123222223300 is a gapful number since it is divisible by the number (20) 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 223123222223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294146900143488).
223123222223300 is an abundant number, since it is smaller than the sum of its proper divisors (365170578063676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223123222223300 is a wasteful number, since it uses less digits than its factorization.
223123222223300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35887 (or 35880 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 29.
Adding to 223123222223300 its reverse (3322222321322), we get a palindrome (226445444544622).
The spelling of 223123222223300 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred".
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