Base | Representation |
---|---|
bin | 101101011011… |
… | …1001010010100 |
3 | 1122211010101111 |
4 | 1122313022110 |
5 | 22044201100 |
6 | 2210304404 |
7 | 406312600 |
oct | 132671224 |
9 | 48733344 |
10 | 23818900 |
11 | 12499546 |
12 | 7b88104 |
13 | 4c1c731 |
14 | 3240500 |
15 | 21576ba |
hex | 16b7294 |
23818900 has 54 divisors (see below), whose sum is σ = 60138078. Its totient is φ = 8164800.
The previous prime is 23818877. The next prime is 23818903. The reversal of 23818900 is 981832.
It can be written as a sum of positive squares in 3 ways, for example, as 5466244 + 18352656 = 2338^2 + 4284^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23818903) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2470 + ... + 7330.
Almost surely, 223818900 is an apocalyptic number.
23818900 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 23818900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30069039).
23818900 is an abundant number, since it is smaller than the sum of its proper divisors (36319178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23818900 is a wasteful number, since it uses less digits than its factorization.
23818900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4889 (or 4875 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 31.
The square root of 23818900 is about 4880.4610437949. The cubic root of 23818900 is about 287.7225498000.
The spelling of 23818900 in words is "twenty-three million, eight hundred eighteen thousand, nine hundred".
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