Base | Representation |
---|---|
bin | 111100111011011… |
… | …111110111110000 |
3 | 2122020111122221101 |
4 | 330323133313300 |
5 | 4043142330000 |
6 | 245233534144 |
7 | 34221545251 |
oct | 7473376760 |
9 | 2566448841 |
10 | 1022230000 |
11 | 485027590 |
12 | 246414354 |
13 | 133a2162c |
14 | 99a96b28 |
15 | 5eb22e6a |
hex | 3cedfdf0 |
1022230000 has 100 divisors (see below), whose sum is σ = 2700204408. Its totient is φ = 371680000.
The previous prime is 1022229977. The next prime is 1022230003. The reversal of 1022230000 is 322201.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022230003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105354 + ... + 114646.
Almost surely, 21022230000 is an apocalyptic number.
1022230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350102204).
1022230000 is an abundant number, since it is smaller than the sum of its proper divisors (1677974408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022230000 is an equidigital number, since it uses as much as digits as its factorization.
1022230000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9332 (or 9311 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 1022230000 is about 31972.3317885950. The cubic root of 1022230000 is about 1007.3557601264.
Adding to 1022230000 its reverse (322201), we get a palindrome (1022552201).
The spelling of 1022230000 in words is "one billion, twenty-two million, two hundred thirty thousand".
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