Base | Representation |
---|---|
bin | 1010000000111101011010… |
… | …01101000001110000100000 |
3 | 2212222101201220020001020210 |
4 | 11000132231031001300200 |
5 | 10341312010004400112 |
6 | 114501153032134120 |
7 | 4432060335332316 |
oct | 500365515016040 |
9 | 85871656201223 |
10 | 22023203200032 |
11 | 7020a960764a1 |
12 | 25782b2237340 |
13 | c39a18a41c68 |
14 | 561d005b20b6 |
15 | 282d19e10b3c |
hex | 1407ad341c20 |
22023203200032 has 96 divisors (see below), whose sum is σ = 58404298760640. Its totient is φ = 7265768883200.
The previous prime is 22023203200003. The next prime is 22023203200039. The reversal of 22023203200032 is 23000230232022.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 22023203199981 and 22023203200008.
It is not an unprimeable number, because it can be changed into a prime (22023203200039) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26634943 + ... + 27449345.
It is an arithmetic number, because the mean of its divisors is an integer number (608378112090).
Almost surely, 222023203200032 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 22023203200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29202149380320).
22023203200032 is an abundant number, since it is smaller than the sum of its proper divisors (36381095560608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22023203200032 is a wasteful number, since it uses less digits than its factorization.
22023203200032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 817306 (or 817298 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 21.
Adding to 22023203200032 its reverse (23000230232022), we get a palindrome (45023433432054).
The spelling of 22023203200032 in words is "twenty-two trillion, twenty-three billion, two hundred three million, two hundred thousand, thirty-two".
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