| Base | Representation |
|---|---|
| bin | 1101100011111111100… |
| … | …1101001100110110100 |
| 3 | 211021102012012012010022 |
| 4 | 3120333321221212310 |
| 5 | 12304141034424340 |
| 6 | 255012221144312 |
| 7 | 22555651652615 |
| oct | 3307771514664 |
| 9 | 737365165108 |
| 10 | 233000311220 |
| 11 | 8a8a6668486 |
| 12 | 391a73bb098 |
| 13 | 18c83177351 |
| 14 | b3c4bb3c0c |
| 15 | 60da6a43b5 |
| hex | 363fe699b4 |
233000311220 has 96 divisors (see below), whose sum is σ = 532424775456. Its totient is φ = 85303296000.
The previous prime is 233000311217. The next prime is 233000311249. The reversal of 233000311220 is 22113000332.
233000311220 is digitally balanced in base 3, 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 16 ways, for example, as 189571418404 + 43428892816 = 435398^2 + 208396^2 .
It is a Harshad number since it is a multiple of its sum of digits (17).
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 31 ways as a sum of consecutive naturals, for example, 4336520 + ... + 4389920.
It is an arithmetic number, because the mean of its divisors is an integer number (5546091411).
Almost surely, 2233000311220 is an apocalyptic number.
233000311220 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 233000311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266212387728).
233000311220 is an abundant number, since it is smaller than the sum of its proper divisors (299424464236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233000311220 is a wasteful number, since it uses less digits than its factorization.
233000311220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53781 (or 53779 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
Adding to 233000311220 its reverse (22113000332), we get a palindrome (255113311552).
The spelling of 233000311220 in words is "two hundred thirty-three billion, three hundred eleven thousand, two hundred twenty".
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