Base | Representation |
---|---|
bin | 110010101111111111001101… |
… | …011000110111101011000010 |
3 | 1002021021201020112221122022000 |
4 | 302233333031120313223002 |
5 | 213223402110344220002 |
6 | 2110412400351524430 |
7 | 65004445231635453 |
oct | 6257771530675302 |
9 | 1067251215848260 |
10 | 223200011320002 |
11 | 6513365863a132 |
12 | 210497a8229716 |
13 | 97708948562b2 |
14 | 3d18d1c56512a |
15 | 1ac0e27ac761c |
hex | caffcd637ac2 |
223200011320002 has 128 divisors (see below), whose sum is σ = 509101548883200. Its totient is φ = 72442060992000.
The previous prime is 223200011320001. The next prime is 223200011320019. The reversal of 223200011320002 is 200023110002322.
223200011320002 is a `hidden beast` number, since 22 + 320 + 0 + 0 + 1 + 1 + 320 + 0 + 0 + 2 = 666.
It is a super-3 number, since 3×2232000113200023 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (223200011320001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897571624 + ... + 2897648652.
It is an arithmetic number, because the mean of its divisors is an integer number (3977355850650).
Almost surely, 2223200011320002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223200011320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254550774441600).
223200011320002 is an abundant number, since it is smaller than the sum of its proper divisors (285901537563198).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223200011320002 is a wasteful number, since it uses less digits than its factorization.
223200011320002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79649 (or 79643 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 223200011320002 its reverse (200023110002322), we get a palindrome (423223121322324).
The spelling of 223200011320002 in words is "two hundred twenty-three trillion, two hundred billion, eleven million, three hundred twenty thousand, two".
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