Base | Representation |
---|---|
bin | 111100111110111… |
… | …100001000111110 |
3 | 2122022012111120000 |
4 | 330332330020332 |
5 | 4043410212342 |
6 | 245305135130 |
7 | 34232323530 |
oct | 7476741076 |
9 | 2568174500 |
10 | 1023132222 |
11 | 485593422 |
12 | 24678a4a6 |
13 | 133c791a8 |
14 | 99c4d850 |
15 | 5ec5044c |
hex | 3cfbc23e |
1023132222 has 80 divisors (see below), whose sum is σ = 2646322272. Its totient is φ = 289396800.
The previous prime is 1023132221. The next prime is 1023132241. The reversal of 1023132222 is 2222313201.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1023132195 and 1023132204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023132221) 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 39 ways as a sum of consecutive naturals, for example, 110068 + ... + 119000.
Almost surely, 21023132222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323161136).
1023132222 is an abundant number, since it is smaller than the sum of its proper divisors (1623190050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023132222 is a wasteful number, since it uses less digits than its factorization.
1023132222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9055 (or 9046 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1023132222 is about 31986.4380949177. The cubic root of 1023132222 is about 1007.6520376350.
Adding to 1023132222 its reverse (2222313201), we get a palindrome (3245445423).
The spelling of 1023132222 in words is "one billion, twenty-three million, one hundred thirty-two thousand, two hundred twenty-two".
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