Base | Representation |
---|---|
bin | 100000000001000001011… |
… | …000001110001101000000 |
3 | 21210022220011011110220211 |
4 | 200001001120032031000 |
5 | 242021321222433344 |
6 | 4402415441443504 |
7 | 314645012331331 |
oct | 40010130161500 |
9 | 7708804143824 |
10 | 2200120124224 |
11 | 77907a4a9100 |
12 | 2b6493940594 |
13 | 12c616721b69 |
14 | 786b48c0288 |
15 | 3c36bc7e334 |
hex | 2004160e340 |
2200120124224 has 42 divisors (see below), whose sum is σ = 4798841574002. Its totient is φ = 1000054598400.
The previous prime is 2200120124177. The next prime is 2200120124233. The reversal of 2200120124224 is 4224210210022.
It can be written as a sum of positive squares in only one way, i.e., 1612493625600 + 587626498624 = 1269840^2 + 766568^2 .
It is a super-2 number, since 2×22001201242242 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 2200120124195 and 2200120124204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142045467 + ... + 142060954.
Almost surely, 22200120124224 is an apocalyptic number.
It is an amenable number.
2200120124224 is an abundant number, since it is smaller than the sum of its proper divisors (2598721449778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200120124224 is a wasteful number, since it uses less digits than its factorization.
2200120124224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 284106455 (or 284106434 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 22.
Adding to 2200120124224 its reverse (4224210210022), we get a palindrome (6424330334246).
The spelling of 2200120124224 in words is "two trillion, two hundred billion, one hundred twenty million, one hundred twenty-four thousand, two hundred twenty-four".
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