Base | Representation |
---|---|
bin | 101100011111… |
… | …1110011010000 |
3 | 1121220021202002 |
4 | 1120333303100 |
5 | 21433030000 |
6 | 2152013132 |
7 | 402205331 |
oct | 130776320 |
9 | 47807662 |
10 | 23330000 |
11 | 121951a1 |
12 | 79911a8 |
13 | 4aab045 |
14 | 3154288 |
15 | 20ac8d5 |
hex | 163fcd0 |
23330000 has 50 divisors (see below), whose sum is σ = 56508474. Its totient is φ = 9328000.
The previous prime is 23329993. The next prime is 23330009. The reversal of 23330000 is 3332.
It is a happy number.
It can be written as a sum of positive squares in 5 ways, for example, as 10995856 + 12334144 = 3316^2 + 3512^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23330009) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8834 + ... + 11166.
Almost surely, 223330000 is an apocalyptic number.
23330000 is a gapful number since it is divisible by the number (20) 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 23330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254237).
23330000 is an abundant number, since it is smaller than the sum of its proper divisors (33178474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23330000 is an equidigital number, since it uses as much as digits as its factorization.
23330000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2361 (or 2340 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 11.
The square root of 23330000 is about 4830.1138702933. The cubic root of 23330000 is about 285.7403547642.
Adding to 23330000 its reverse (3332), we get a palindrome (23333332).
The spelling of 23330000 in words is "twenty-three million, three hundred thirty thousand".
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