Base | Representation |
---|---|
bin | 1010100011110101000101… |
… | …01010101110101000101000 |
3 | 10001012221021212201011020010 |
4 | 11101322202222232220220 |
5 | 11020424232002442412 |
6 | 121215421142531520 |
7 | 4614454004626422 |
oct | 521724252565050 |
9 | 101187255634203 |
10 | 23221322312232 |
11 | 7443120080760 |
12 | 2730545a36ba0 |
13 | cc59b87583b5 |
14 | 5a3cbcda9812 |
15 | 2a408e91633c |
hex | 151ea2aaea28 |
23221322312232 has 128 divisors (see below), whose sum is σ = 65058210311040. Its totient is φ = 6844930375680.
The previous prime is 23221322312189. The next prime is 23221322312249.
It is a happy number.
23221322312232 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 23221322312232.
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, 40516368 + ... + 41085504.
It is an arithmetic number, because the mean of its divisors is an integer number (508267268055).
Almost surely, 223221322312232 is an apocalyptic number.
23221322312232 is a gapful number since it is divisible by the number (22) 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 23221322312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32529105155520).
23221322312232 is an abundant number, since it is smaller than the sum of its proper divisors (41836887998808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23221322312232 is a wasteful number, since it uses less digits than its factorization.
23221322312232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 573371 (or 573367 counting only the distinct ones).
The product of its digits is 20736, while the sum is 30.
It can be divided in two parts, 2322132 and 2312232, that added together give a palindrome (4634364).
The spelling of 23221322312232 in words is "twenty-three trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred thirty-two".
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