Base | Representation |
---|---|
bin | 10111000000101… |
… | …00110000011000 |
3 | 111110012120210000 |
4 | 23200110300120 |
5 | 343403214000 |
6 | 31053053000 |
7 | 4532445162 |
oct | 1340246030 |
9 | 443176700 |
10 | 193023000 |
11 | 99a58045 |
12 | 54787160 |
13 | 30cb36c1 |
14 | 1b8c7932 |
15 | 11e2c000 |
hex | b814c18 |
193023000 has 160 divisors (see below), whose sum is σ = 675005760. Its totient is φ = 51451200.
The previous prime is 193022987. The next prime is 193023007. The reversal of 193023000 is 320391.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (193023007) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79809 + ... + 82191.
It is an arithmetic number, because the mean of its divisors is an integer number (4218786).
Almost surely, 2193023000 is an apocalyptic number.
193023000 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 193023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337502880).
193023000 is an abundant number, since it is smaller than the sum of its proper divisors (481982760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
193023000 is a wasteful number, since it uses less digits than its factorization.
193023000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2416 (or 2393 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 193023000 is about 13893.2717529026. The cubic root of 193023000 is about 577.9226118937.
Adding to 193023000 its reverse (320391), we get a palindrome (193343391).
The spelling of 193023000 in words is "one hundred ninety-three million, twenty-three thousand".
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