Search a number
-
+
42200235 = 32571119641
BaseRepresentation
bin1010000011111…
…0110010101011
32221101222211200
42200332302223
541300401420
64104255243
71021460520
oct240766253
987358750
1042200235
1121903730
1212171523
13898716c
145867147
153a88b90
hex283ecab

42200235 has 96 divisors (see below), whose sum is σ = 96145920. Its totient is φ = 16588800.

The previous prime is 42200203. The next prime is 42200237. The reversal of 42200235 is 53200224.

It is not a de Polignac number, because 42200235 - 25 = 42200203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42200237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65515 + ... + 66155.

It is an arithmetic number, because the mean of its divisors is an integer number (1001520).

Almost surely, 242200235 is an apocalyptic number.

42200235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42200235 is an abundant number, since it is smaller than the sum of its proper divisors (53945685).

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

42200235 is a wasteful number, since it uses less digits than its factorization.

42200235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42200235 is about 6496.1707951685. The cubic root of 42200235 is about 348.1541875206.

Adding to 42200235 its reverse (53200224), we get a palindrome (95400459).

The spelling of 42200235 in words is "forty-two million, two hundred thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 55 57 63 77 95 99 105 133 165 171 209 231 285 315 385 399 495 627 641 665 693 855 1045 1155 1197 1463 1881 1923 1995 3135 3205 3465 4389 4487 5769 5985 7051 7315 9405 9615 12179 13167 13461 21153 21945 22435 28845 35255 36537 40383 49357 60895 63459 65835 67305 85253 105765 109611 133969 148071 182685 201915 246785 255759 317295 401907 426265 444213 548055 669845 740355 767277 937783 1205721 1278795 2009535 2221065 2813349 3836385 4688915 6028605 8440047 14066745 42200235