Base | Representation |
---|---|
bin | 101100100000… |
… | …0000100011100 |
3 | 1121220100020211 |
4 | 1121000010130 |
5 | 21433043400 |
6 | 2152022204 |
7 | 402211462 |
oct | 131000434 |
9 | 47810224 |
10 | 23331100 |
11 | 12196001 |
12 | 7991964 |
13 | 4aab6b0 |
14 | 3154832 |
15 | 20acdba |
hex | 164011c |
23331100 has 72 divisors (see below), whose sum is σ = 55340208. Its totient is φ = 8486400.
The previous prime is 23331073. The next prime is 23331103. The reversal of 23331100 is 113332.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23331103) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170232 + ... + 170368.
It is an arithmetic number, because the mean of its divisors is an integer number (768614).
Almost surely, 223331100 is an apocalyptic number.
23331100 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 23331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27670104).
23331100 is an abundant number, since it is smaller than the sum of its proper divisors (32009108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23331100 is a wasteful number, since it uses less digits than its factorization.
23331100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 295 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 13.
The square root of 23331100 is about 4830.2277379022. The cubic root of 23331100 is about 285.7448455407.
Adding to 23331100 its reverse (113332), we get a palindrome (23444432).
The spelling of 23331100 in words is "twenty-three million, three hundred thirty-one thousand, one hundred".
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