Base | Representation |
---|---|
bin | 1010000001001111111000… |
… | …11010110000010000011110 |
3 | 2220000100100011110001100022 |
4 | 11000213330122300100132 |
5 | 10341442313231224042 |
6 | 114505513201232142 |
7 | 4432561210015310 |
oct | 500477432602036 |
9 | 86010304401308 |
10 | 22033122133022 |
11 | 7025216050680 |
12 | 257a200032652 |
13 | c3a9399b7490 |
14 | 5625a1a717b0 |
15 | 2831eab08cd2 |
hex | 1409fc6b041e |
22033122133022 has 32 divisors (see below), whose sum is σ = 44374399824384. Its totient is φ = 7923999967200.
The previous prime is 22033122133007. The next prime is 22033122133081.
22033122133022 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×220331221330223 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 22033122132982 and 22033122133000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502775754 + ... + 5502779757.
It is an arithmetic number, because the mean of its divisors is an integer number (1386699994512).
Almost surely, 222033122133022 is an apocalyptic number.
22033122133022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22033122133022 is an abundant number, since it is smaller than the sum of its proper divisors (22341277691362).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22033122133022 is a wasteful number, since it uses less digits than its factorization.
22033122133022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11005555544.
The product of its (nonzero) digits is 5184, while the sum is 26.
It can be divided in two parts, 2203312 and 2133022, that added together give a palindrome (4336334).
The spelling of 22033122133022 in words is "twenty-two trillion, thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, twenty-two".
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