Base | Representation |
---|---|
bin | 11011110101010… |
… | …00101011000000 |
3 | 121021022202011001 |
4 | 31322220223000 |
5 | 434232143002 |
6 | 35100101344 |
7 | 5533334260 |
oct | 1572505300 |
9 | 537282131 |
10 | 233474752 |
11 | 10a877045 |
12 | 66234854 |
13 | 394a7a54 |
14 | 230177a0 |
15 | 1576ca87 |
hex | dea8ac0 |
233474752 has 56 divisors (see below), whose sum is σ = 539532576. Its totient is φ = 98162688.
The previous prime is 233474743. The next prime is 233474789. The reversal of 233474752 is 257474332.
233474752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (56).
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 7 ways as a sum of consecutive naturals, for example, 18828 + ... + 28660.
Almost surely, 2233474752 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 233474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269766288).
233474752 is an abundant number, since it is smaller than the sum of its proper divisors (306057824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233474752 is an equidigital number, since it uses as much as digits as its factorization.
233474752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9905 (or 9895 counting only the distinct ones).
The product of its digits is 141120, while the sum is 37.
The square root of 233474752 is about 15279.8806278060. The cubic root of 233474752 is about 615.7626003741.
The spelling of 233474752 in words is "two hundred thirty-three million, four hundred seventy-four thousand, seven hundred fifty-two".
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