Base | Representation |
---|---|
bin | 1100111111011111000… |
… | …1100101100000010000 |
3 | 210100010012202012022100 |
4 | 3033313301211200100 |
5 | 12124103234144440 |
6 | 250311541040400 |
7 | 22061053162464 |
oct | 3176761454020 |
9 | 710105665270 |
10 | 223200303120 |
11 | 86727830333 |
12 | 373113b6100 |
13 | 18080a405a2 |
14 | ab354304a4 |
15 | 5c1514d230 |
hex | 33f7c65810 |
223200303120 has 60 divisors (see below), whose sum is σ = 749581020396. Its totient is φ = 59520080640.
The previous prime is 223200303107. The next prime is 223200303167. The reversal of 223200303120 is 21303002322.
It is a happy number.
223200303120 is a `hidden beast` number, since 2 + 2 + 320 + 0 + 30 + 312 + 0 = 666.
223200303120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 58270097664 + 164930205456 = 241392^2 + 406116^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a super-3 number, since 3×2232003031203 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223200303093 and 223200303102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154999491 + ... + 155000930.
Almost surely, 2223200303120 is an apocalyptic number.
223200303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223200303120 is an abundant number, since it is smaller than the sum of its proper divisors (526380717276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223200303120 is a wasteful number, since it uses less digits than its factorization.
223200303120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 310000440 (or 310000431 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 223200303120 its reverse (21303002322), we get a palindrome (244503305442).
The spelling of 223200303120 in words is "two hundred twenty-three billion, two hundred million, three hundred three thousand, one hundred twenty".
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