| Base | Representation |
|---|---|
| bin | 11011110011010… |
| … | …00100110100000 |
| 3 | 121020211102011100 |
| 4 | 31321220212200 |
| 5 | 434200243240 |
| 6 | 35050314400 |
| 7 | 5531162205 |
| oct | 1571504640 |
| 9 | 536742140 |
| 10 | 233212320 |
| 11 | 10a707960 |
| 12 | 66128a00 |
| 13 | 39415473 |
| 14 | 22d89cac |
| 15 | 15719e30 |
| hex | de689a0 |
233212320 has 144 divisors (see below), whose sum is σ = 868244832. Its totient is φ = 56532480.
The previous prime is 233212313. The next prime is 233212361. The reversal of 233212320 is 23212332.
It is a happy number.
233212320 is a `hidden beast` number, since 2 + 332 + 12 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 233212293 and 233212302.
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, 8479 + ... + 23201.
It is an arithmetic number, because the mean of its divisors is an integer number (6029478).
Almost surely, 2233212320 is an apocalyptic number.
233212320 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 233212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434122416).
233212320 is an abundant number, since it is smaller than the sum of its proper divisors (635032512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233212320 is a wasteful number, since it uses less digits than its factorization.
233212320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14755 (or 14744 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 233212320 is about 15271.2907116589. The cubic root of 233212320 is about 615.5318025495.
Adding to 233212320 its reverse (23212332), we get a palindrome (256424652).
The spelling of 233212320 in words is "two hundred thirty-three million, two hundred twelve thousand, three hundred twenty".
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