Base | Representation |
---|---|
bin | 1010000100001001111111… |
… | …00001100010100011110001 |
3 | 2220100220020001221000020000 |
4 | 11002010333201202203301 |
5 | 10400111422222430301 |
6 | 115023435153340213 |
7 | 4443026112606231 |
oct | 502047741424361 |
9 | 86326201830200 |
10 | 22133032233201 |
11 | 70636257636aa |
12 | 2595643867669 |
13 | c4719c9ab756 |
14 | 56735cbadcc1 |
15 | 285ae6ed6786 |
hex | 14213f8628f1 |
22133032233201 has 40 divisors (see below), whose sum is σ = 33710237585640. Its totient is φ = 14469262543872.
The previous prime is 22133032233133. The next prime is 22133032233203. The reversal of 22133032233201 is 10233223033122.
22133032233201 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 0 + 322 + 332 + 0 + 1 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 977677978176 + 21155354255025 = 988776^2 + 4599495^2 .
It is not a de Polignac number, because 22133032233201 - 243 = 13336939210993 is a prime.
It is a super-2 number, since 2×221330322332012 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (22133032233203) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12065526 + ... + 13778351.
It is an arithmetic number, because the mean of its divisors is an integer number (842755939641).
Almost surely, 222133032233201 is an apocalyptic number.
It is an amenable number.
22133032233201 is a deficient number, since it is larger than the sum of its proper divisors (11577205352439).
22133032233201 is a wasteful number, since it uses less digits than its factorization.
22133032233201 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25844095 (or 25844086 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 22133032233201 its reverse (10233223033122), we get a palindrome (32366255266323).
The spelling of 22133032233201 in words is "twenty-two trillion, one hundred thirty-three billion, thirty-two million, two hundred thirty-three thousand, two hundred one".
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