Base | Representation |
---|---|
bin | 101100010100… |
… | …1011000000000 |
3 | 1121201121202000 |
4 | 1120221120000 |
5 | 21422110034 |
6 | 2150024000 |
7 | 401343456 |
oct | 130513000 |
9 | 47647660 |
10 | 23238144 |
11 | 12132186 |
12 | 7948000 |
13 | 4a782a7 |
14 | 312c9d6 |
15 | 2090599 |
hex | 1629600 |
23238144 has 120 divisors (see below), whose sum is σ = 70505160. Its totient is φ = 7557120.
The previous prime is 23238113. The next prime is 23238157. The reversal of 23238144 is 44183232.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a super-2 number, since 2×232381442 = 1080022673129472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
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, 566764 + ... + 566804.
It is an arithmetic number, because the mean of its divisors is an integer number (587543).
Almost surely, 223238144 is an apocalyptic number.
23238144 is a gapful number since it is divisible by the number (24) 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 23238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35252580).
23238144 is an abundant number, since it is smaller than the sum of its proper divisors (47267016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23238144 is an frugal number, since it uses more digits than its factorization.
23238144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 109 (or 46 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 23238144 is about 4820.5958137973. The cubic root of 23238144 is about 285.3648512849.
The spelling of 23238144 in words is "twenty-three million, two hundred thirty-eight thousand, one hundred forty-four".
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