Base | Representation |
---|---|
bin | 11110111000011101110… |
… | …001010001101111110000 |
3 | 21111212210200201210222020 |
4 | 132320131301101233300 |
5 | 234232243101114412 |
6 | 4302533100111440 |
7 | 306216265265523 |
oct | 36703561215760 |
9 | 7455720653866 |
10 | 2122213301232 |
11 | 74903109a982 |
12 | 2a3370b35580 |
13 | 12517c15942b |
14 | 74a03b36bba |
15 | 3a30c42b18c |
hex | 1ee1dc51bf0 |
2122213301232 has 160 divisors (see below), whose sum is σ = 5697573903360. Its totient is φ = 679867776000.
The previous prime is 2122213301227. The next prime is 2122213301239. The reversal of 2122213301232 is 2321033122212.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122213301239) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 592629682 + ... + 592633262.
It is an arithmetic number, because the mean of its divisors is an integer number (35609836896).
Almost surely, 22122213301232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122213301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848786951680).
2122213301232 is an abundant number, since it is smaller than the sum of its proper divisors (3575360602128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122213301232 is a wasteful number, since it uses less digits than its factorization.
2122213301232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5463 (or 5457 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 2122213301232 its reverse (2321033122212), we get a palindrome (4443246423444).
The spelling of 2122213301232 in words is "two trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred one thousand, two hundred thirty-two".
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