Search a number
-
+
35056230 = 23511412591
BaseRepresentation
bin1000010110111…
…0101001100110
32102222001002220
42011232221212
532433244410
63251213210
7603654516
oct205565146
972861086
1035056230
11188742a0
12b8a7206
137355541
144927846
153127070
hex216ea66

35056230 has 64 divisors (see below), whose sum is σ = 94058496. Its totient is φ = 8288000.

The previous prime is 35056213. The next prime is 35056237. The reversal of 35056230 is 3265053.

35056230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 35056230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35056237) 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 31 ways as a sum of consecutive naturals, for example, 12235 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (1469664).

Almost surely, 235056230 is an apocalyptic number.

35056230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35056230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47029248).

35056230 is an abundant number, since it is smaller than the sum of its proper divisors (59002266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35056230 is a wasteful number, since it uses less digits than its factorization.

35056230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 35056230 is about 5920.8301782774. The cubic root of 35056230 is about 327.2817106821.

The spelling of 35056230 in words is "thirty-five million, fifty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2591 2706 4510 5182 6765 7773 12955 13530 15546 25910 28501 38865 57002 77730 85503 106231 142505 171006 212462 285010 318693 427515 531155 637386 855030 1062310 1168541 1593465 2337082 3186930 3505623 5842705 7011246 11685410 17528115 35056230