Base | Representation |
---|---|
bin | 100000011110101110001… |
… | …010110101011000110010 |
3 | 21220101012121210012211202 |
4 | 200132232022311120302 |
5 | 243032124041233242 |
6 | 4425212110411202 |
7 | 320154201556400 |
oct | 40365612653062 |
9 | 7811177705752 |
10 | 2232010102322 |
11 | 790654572700 |
12 | 3006b3800b02 |
13 | 13262951bca0 |
14 | 7a05bd44470 |
15 | 3d0d6786932 |
hex | 207ae2b5632 |
2232010102322 has 144 divisors (see below), whose sum is σ = 4657730920920. Its totient is φ = 794440120320.
The previous prime is 2232010102303. The next prime is 2232010102331.
It is a happy number.
2232010102322 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 1566204693361 + 665805408961 = 1251481^2 + 815969^2 .
It is a super-3 number, since 3×22320101023223 (a number of 38 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2232010102294 and 2232010102303.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14878304 + ... + 15027572.
Almost surely, 22232010102322 is an apocalyptic number.
2232010102322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
2232010102322 is an abundant number, since it is smaller than the sum of its proper divisors (2425720818598).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232010102322 is a wasteful number, since it uses less digits than its factorization.
2232010102322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149417 (or 149399 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
It can be divided in two parts, 2232010 and 102322, that added together give a palindrome (2334332).
The spelling of 2232010102322 in words is "two trillion, two hundred thirty-two billion, ten million, one hundred two thousand, three hundred twenty-two".
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