Base | Representation |
---|---|
bin | 11011110111000… |
… | …00100000111000 |
3 | 121021202100220110 |
4 | 31323200200320 |
5 | 434312002410 |
6 | 35105024320 |
7 | 5535306153 |
oct | 1573404070 |
9 | 537670813 |
10 | 233703480 |
11 | 10aa1297a |
12 | 663250a0 |
13 | 39557baa |
14 | 23076c9a |
15 | 157b5720 |
hex | dee0838 |
233703480 has 64 divisors (see below), whose sum is σ = 706204800. Its totient is φ = 61868160.
The previous prime is 233703473. The next prime is 233703487. The reversal of 233703480 is 84307332.
233703480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (233703473) and next prime (233703487).
It is a super-2 number, since 2×2337034802 = 109234633128220800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233703487) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 9675 + ... + 23685.
It is an arithmetic number, because the mean of its divisors is an integer number (11034450).
Almost surely, 2233703480 is an apocalyptic number.
233703480 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 233703480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353102400).
233703480 is an abundant number, since it is smaller than the sum of its proper divisors (472501320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233703480 is a wasteful number, since it uses less digits than its factorization.
233703480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14164 (or 14160 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 30.
The square root of 233703480 is about 15287.3634090382. The cubic root of 233703480 is about 615.9636159429.
The spelling of 233703480 in words is "two hundred thirty-three million, seven hundred three thousand, four hundred eighty".
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