Base | Representation |
---|---|
bin | 1101100100011100100… |
… | …1111110101001011100 |
3 | 211021201200020020221111 |
4 | 3121013021332221130 |
5 | 12304413220012340 |
6 | 255032250111404 |
7 | 22561660402420 |
oct | 3310711765134 |
9 | 737650206844 |
10 | 233122032220 |
11 | 8a959345250 |
12 | 3922011b564 |
13 | 18ca24546cc |
14 | b3d701ab80 |
15 | 60e61e9aea |
hex | 364727ea5c |
233122032220 has 96 divisors (see below), whose sum is σ = 611301841920. Its totient is φ = 72548797440.
The previous prime is 233122032197. The next prime is 233122032263. The reversal of 233122032220 is 22230221332.
233122032220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 233122032191 and 233122032200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879396 + ... + 1113364.
It is an arithmetic number, because the mean of its divisors is an integer number (6367727520).
Almost surely, 2233122032220 is an apocalyptic number.
233122032220 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 233122032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305650920960).
233122032220 is an abundant number, since it is smaller than the sum of its proper divisors (378179809700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233122032220 is a wasteful number, since it uses less digits than its factorization.
233122032220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 234643 (or 234641 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
Adding to 233122032220 its reverse (22230221332), we get a palindrome (255352253552).
The spelling of 233122032220 in words is "two hundred thirty-three billion, one hundred twenty-two million, thirty-two thousand, two hundred twenty".
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