Base | Representation |
---|---|
bin | 100001111100000111111… |
… | …011010100011000101000 |
3 | 22020222002000100200111200 |
4 | 201330013323110120220 |
5 | 301203022324412412 |
6 | 4543235520124200 |
7 | 330334400605605 |
oct | 41740773243050 |
9 | 8228060320450 |
10 | 2332300232232 |
11 | 81a139750693 |
12 | 318022766660 |
13 | 13bc20181b19 |
14 | 80c537296ac |
15 | 40a061d09dc |
hex | 21f07ed4628 |
2332300232232 has 96 divisors (see below), whose sum is σ = 6377488139880. Its totient is φ = 769955880960.
The previous prime is 2332300232203. The next prime is 2332300232261. The reversal of 2332300232232 is 2322320032332.
2332300232232 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 300 + 2 + 322 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (2332300232203) and next prime (2332300232261).
It can be written as a sum of positive squares in 4 ways, for example, as 2331747324036 + 552908196 = 1527006^2 + 23514^2 .
It is a super-2 number, since 2×23323002322322 (a number of 26 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2332300232196 and 2332300232205.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10441882 + ... + 10662902.
Almost surely, 22332300232232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2332300232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188744069940).
2332300232232 is an abundant number, since it is smaller than the sum of its proper divisors (4045187907648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2332300232232 is a wasteful number, since it uses less digits than its factorization.
2332300232232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 222443 (or 222436 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 27.
Adding to 2332300232232 its reverse (2322320032332), we get a palindrome (4654620264564).
The spelling of 2332300232232 in words is "two trillion, three hundred thirty-two billion, three hundred million, two hundred thirty-two thousand, two hundred thirty-two".
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