Base | Representation |
---|---|
bin | 11011110101001… |
… | …01011010101000 |
3 | 121021022001212010 |
4 | 31322211122220 |
5 | 434231231131 |
6 | 35055515520 |
7 | 5533250346 |
oct | 1572453250 |
9 | 537261763 |
10 | 233461416 |
11 | 10a868021 |
12 | 66228ba0 |
13 | 394a1966 |
14 | 23012996 |
15 | 15768b46 |
hex | dea56a8 |
233461416 has 64 divisors (see below), whose sum is σ = 602193600. Its totient is φ = 75368448.
The previous prime is 233461409. The next prime is 233461429. The reversal of 233461416 is 614164332.
233461416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250840 + ... + 251768.
It is an arithmetic number, because the mean of its divisors is an integer number (9409275).
Almost surely, 2233461416 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 233461416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301096800).
233461416 is an abundant number, since it is smaller than the sum of its proper divisors (368732184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233461416 is a wasteful number, since it uses less digits than its factorization.
233461416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).
The product of its digits is 10368, while the sum is 30.
The square root of 233461416 is about 15279.4442307304. Note that the first 3 decimals coincide. The cubic root of 233461416 is about 615.7508760994.
The spelling of 233461416 in words is "two hundred thirty-three million, four hundred sixty-one thousand, four hundred sixteen".
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