Base | Representation |
---|---|
bin | 10100110010100011… |
… | …111100101101101010 |
3 | 2010121201220001011100 |
4 | 110302203330231222 |
5 | 331204204333002 |
6 | 14131033542230 |
7 | 1420121253300 |
oct | 246243745552 |
9 | 63551801140 |
10 | 22323121002 |
11 | 9515902236 |
12 | 43abb74976 |
13 | 2149a86950 |
14 | 111aa52270 |
15 | 8a9ba811c |
hex | 5328fcb6a |
22323121002 has 144 divisors (see below), whose sum is σ = 60885088992. Its totient is φ = 5858879040.
The previous prime is 22323120979. The next prime is 22323121003. The reversal of 22323121002 is 20012132322.
22323121002 is a `hidden beast` number, since 223 + 231 + 210 + 0 + 2 = 666.
It is a super-3 number, since 3×223231210023 (a number of 32 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 (22323121003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2414713 + ... + 2423939.
It is an arithmetic number, because the mean of its divisors is an integer number (422813118).
Almost surely, 222323121002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22323121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442544496).
22323121002 is an abundant number, since it is smaller than the sum of its proper divisors (38561967990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22323121002 is a wasteful number, since it uses less digits than its factorization.
22323121002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9473 (or 9463 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 22323121002 its reverse (20012132322), we get a palindrome (42335253324).
The spelling of 22323121002 in words is "twenty-two billion, three hundred twenty-three million, one hundred twenty-one thousand, two".
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