| Base | Representation |
|---|---|
| bin | 101100010001… |
| … | …1101011100000 |
| 3 | 1121200102202000 |
| 4 | 1120203223200 |
| 5 | 21420333231 |
| 6 | 2145324000 |
| 7 | 401215452 |
| oct | 130435340 |
| 9 | 47612660 |
| 10 | 23214816 |
| 11 | 121166a9 |
| 12 | 7936600 |
| 13 | 4a6a7a1 |
| 14 | 31242d2 |
| 15 | 20886e6 |
| hex | 1623ae0 |
23214816 has 96 divisors (see below), whose sum is σ = 68654880. Its totient is φ = 7630848.
The previous prime is 23214811. The next prime is 23214823. The reversal of 23214816 is 61841232.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×232148163 (a number of 23 digits) contains 333 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.
It is a self number, because there is not a number n which added to its sum of digits gives 23214816.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23214811) 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 15 ways as a sum of consecutive naturals, for example, 83670 + ... + 83946.
It is an arithmetic number, because the mean of its divisors is an integer number (715155).
Almost surely, 223214816 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34327440).
23214816 is an abundant number, since it is smaller than the sum of its proper divisors (45440064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23214816 is a wasteful number, since it uses less digits than its factorization.
23214816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 393 (or 379 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 23214816 is about 4818.1755883322. The cubic root of 23214816 is about 285.2693298860.
The spelling of 23214816 in words is "twenty-three million, two hundred fourteen thousand, eight hundred sixteen".
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