Base | Representation |
---|---|
bin | 101100011010… |
… | …0011001011000 |
3 | 1121210220200000 |
4 | 1120310121120 |
5 | 21430031123 |
6 | 2151013000 |
7 | 401622210 |
oct | 130643130 |
9 | 47726600 |
10 | 23283288 |
11 | 12163096 |
12 | 796a160 |
13 | 4a929c2 |
14 | 3141240 |
15 | 209db43 |
hex | 1634658 |
23283288 has 192 divisors, whose sum is σ = 78624000. Its totient is φ = 6314112.
The previous prime is 23283241. The next prime is 23283289. The reversal of 23283288 is 88238232.
23283288 is a `hidden beast` number, since 2 + 328 + 328 + 8 = 666.
It is a super-2 number, since 2×232832882 = 1084223000181888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23283289) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 394603 + ... + 394661.
It is an arithmetic number, because the mean of its divisors is an integer number (409500).
Almost surely, 223283288 is an apocalyptic number.
23283288 is a gapful number since it is divisible by the number (28) 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 23283288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).
23283288 is an abundant number, since it is smaller than the sum of its proper divisors (55340712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23283288 is a wasteful number, since it uses less digits than its factorization.
23283288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 100 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 23283288 is about 4825.2759506582. The cubic root of 23283288 is about 285.5495214791.
The spelling of 23283288 in words is "twenty-three million, two hundred eighty-three thousand, two hundred eighty-eight".
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