Base | Representation |
---|---|
bin | 101100101101… |
… | …0110001110100 |
3 | 1122002220022200 |
4 | 1121122301310 |
5 | 22000044000 |
6 | 2154224500 |
7 | 403145436 |
oct | 131326164 |
9 | 48086280 |
10 | 23440500 |
11 | 12260216 |
12 | 7a25130 |
13 | 4b19425 |
14 | 3182656 |
15 | 20d0500 |
hex | 165ac74 |
23440500 has 72 divisors (see below), whose sum is σ = 73961160. Its totient is φ = 6249600.
The previous prime is 23440489. The next prime is 23440511. The reversal of 23440500 is 504432.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (23440489) and next prime (23440511).
It can be written as a sum of positive squares in 4 ways, for example, as 285156 + 23155344 = 534^2 + 4812^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 3 and base 5.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 1896 + ... + 7104.
Almost surely, 223440500 is an apocalyptic number.
23440500 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 23440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36980580).
23440500 is an abundant number, since it is smaller than the sum of its proper divisors (50520660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23440500 is a wasteful number, since it uses less digits than its factorization.
23440500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5234 (or 5219 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 23440500 is about 4841.5390115128. The cubic root of 23440500 is about 286.1907704027.
Adding to 23440500 its reverse (504432), we get a palindrome (23944932).
The spelling of 23440500 in words is "twenty-three million, four hundred forty thousand, five hundred".
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