Base | Representation |
---|---|
bin | 100000011101111111001… |
… | …100100010011110100010 |
3 | 21220022011200212111010200 |
4 | 200131333030202132202 |
5 | 243024020314120002 |
6 | 4425001555210030 |
7 | 320125522150323 |
oct | 40357714423642 |
9 | 7808150774120 |
10 | 2231222020002 |
11 | 79028a7317a8 |
12 | 3005138a6916 |
13 | 13253217c7a1 |
14 | 79dc53dc44a |
15 | 3d08c4b5b1c |
hex | 2077f3227a2 |
2231222020002 has 24 divisors (see below), whose sum is σ = 4884152673036. Its totient is φ = 736073243136.
The previous prime is 2231222019977. The next prime is 2231222020009. The reversal of 2231222020002 is 2000202221322.
2231222020002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 1864592981001 + 366629039001 = 1365501^2 + 605499^2 .
It is a super-3 number, since 3×22312220200023 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2231222020009) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638950723 + ... + 638954214.
Almost surely, 22231222020002 is an apocalyptic number.
2231222020002 is an abundant number, since it is smaller than the sum of its proper divisors (2652930653034).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231222020002 is a wasteful number, since it uses less digits than its factorization.
2231222020002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1277905042 (or 1277905039 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 2231222020002 its reverse (2000202221322), we get a palindrome (4231424241324).
The spelling of 2231222020002 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-two million, twenty thousand, two".
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