Base | Representation |
---|---|
bin | 1010000000101010110001… |
… | …11110101110101001101110 |
3 | 2212221102220202212120102002 |
4 | 11000111120332232221232 |
5 | 10341131013224343042 |
6 | 114452420301532302 |
7 | 4431254423443340 |
oct | 500253076565156 |
9 | 85842822776362 |
10 | 22013200231022 |
11 | 7017822713860 |
12 | 2576380274092 |
13 | c38ab35552a0 |
14 | 561631cb9290 |
15 | 282931b68132 |
hex | 140558faea6e |
22013200231022 has 32 divisors (see below), whose sum is σ = 44334277392384. Its totient is φ = 7916835247200.
The previous prime is 22013200231019. The next prime is 22013200231049.
It is a happy number.
22013200231022 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×220132002310222 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22013200230985 and 22013200231003.
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 15 ways as a sum of consecutive naturals, for example, 5497800254 + ... + 5497804257.
It is an arithmetic number, because the mean of its divisors is an integer number (1385446168512).
Almost surely, 222013200231022 is an apocalyptic number.
22013200231022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22013200231022 is an abundant number, since it is smaller than the sum of its proper divisors (22321077161362).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22013200231022 is a wasteful number, since it uses less digits than its factorization.
22013200231022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10995604544.
The product of its (nonzero) digits is 576, while the sum is 20.
It can be divided in two parts, 22013200 and 231022, that added together give a palindrome (22244222).
The spelling of 22013200231022 in words is "twenty-two trillion, thirteen billion, two hundred million, two hundred thirty-one thousand, twenty-two".
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