Base | Representation |
---|---|
bin | 101100100110… |
… | …0011001100000 |
3 | 1121222220112012 |
4 | 1121030121200 |
5 | 21441202400 |
6 | 2153052052 |
7 | 402511634 |
oct | 131143140 |
9 | 47886465 |
10 | 23381600 |
11 | 1221aa40 |
12 | 79b7028 |
13 | 4ac8688 |
14 | 3168dc4 |
15 | 20bcd35 |
hex | 164c660 |
23381600 has 72 divisors (see below), whose sum is σ = 62292888. Its totient is φ = 8499200.
The previous prime is 23381599. The next prime is 23381629. The reversal of 23381600 is 618332.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7472 + ... + 10128.
It is an arithmetic number, because the mean of its divisors is an integer number (865179).
Almost surely, 223381600 is an apocalyptic number.
23381600 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 23381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31146444).
23381600 is an abundant number, since it is smaller than the sum of its proper divisors (38911288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23381600 is a wasteful number, since it uses less digits than its factorization.
23381600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2688 (or 2675 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 23.
The square root of 23381600 is about 4835.4524090306. The cubic root of 23381600 is about 285.9508612009.
Adding to 23381600 its reverse (618332), we get a palindrome (23999932).
The spelling of 23381600 in words is "twenty-three million, three hundred eighty-one thousand, six hundred".
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