Base | Representation |
---|---|
bin | 101100001001… |
… | …0011101100100 |
3 | 1121112212000000 |
4 | 1120102131210 |
5 | 21411104132 |
6 | 2144021300 |
7 | 400503033 |
oct | 130223544 |
9 | 47485000 |
10 | 23144292 |
11 | 12078716 |
12 | 7901830 |
13 | 4a44662 |
14 | 310671a |
15 | 207287c |
hex | 1612764 |
23144292 has 42 divisors (see below), whose sum is σ = 60733638. Its totient is φ = 7713792.
The previous prime is 23144273. The next prime is 23144311. The reversal of 23144292 is 29244132.
23144292 is a `hidden beast` number, since 231 + 4 + 429 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (23144273) and next prime (23144311).
It can be written as a sum of positive squares in only one way, i.e., 23097636 + 46656 = 4806^2 + 216^2 .
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.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1053 + ... + 6884.
It is an arithmetic number, because the mean of its divisors is an integer number (1446039).
Almost surely, 223144292 is an apocalyptic number.
It is an amenable number.
23144292 is an abundant number, since it is smaller than the sum of its proper divisors (37589346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23144292 is an equidigital number, since it uses as much as digits as its factorization.
23144292 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7959 (or 7942 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 23144292 is about 4810.8514838852. The cubic root of 23144292 is about 284.9801648245.
It can be divided in two parts, 23144 and 292, that added together give a triangular number (23436 = T216).
The spelling of 23144292 in words is "twenty-three million, one hundred forty-four thousand, two hundred ninety-two".
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