Base | Representation |
---|---|
bin | 11011110011110… |
… | …10110110010000 |
3 | 121020222012200100 |
4 | 31321322312100 |
5 | 434210141211 |
6 | 35052052400 |
7 | 5531623122 |
oct | 1571726620 |
9 | 536865610 |
10 | 233287056 |
11 | 10a759022 |
12 | 66164100 |
13 | 394404a2 |
14 | 22da9212 |
15 | 15732156 |
hex | de7ad90 |
233287056 has 120 divisors (see below), whose sum is σ = 695948760. Its totient is φ = 72695808.
The previous prime is 233287051. The next prime is 233287057. The reversal of 233287056 is 650782332.
It can be written as a sum of positive squares in 4 ways, for example, as 79923600 + 153363456 = 8940^2 + 12384^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 233287056.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233287051) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570180 + ... + 570588.
It is an arithmetic number, because the mean of its divisors is an integer number (5799573).
Almost surely, 2233287056 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 233287056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347974380).
233287056 is an abundant number, since it is smaller than the sum of its proper divisors (462661704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233287056 is a wasteful number, since it uses less digits than its factorization.
233287056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 673 (or 664 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The square root of 233287056 is about 15273.7374600980. The cubic root of 233287056 is about 615.5975473204.
The spelling of 233287056 in words is "two hundred thirty-three million, two hundred eighty-seven thousand, fifty-six".
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