Search a number
-
+
335005230 = 235717107877
BaseRepresentation
bin10011111101111…
…100011000101110
3212100101000210010
4103331330120232
51141230131410
653124154050
711205332430
oct2375743056
9770330703
10335005230
1116211342a
1294238926
1354536061
14326c6650
151e625c20
hex13f7c62e

335005230 has 128 divisors (see below), whose sum is σ = 983135232. Its totient is φ = 71313408.

The previous prime is 335005201. The next prime is 335005243. The reversal of 335005230 is 32500533.

It is a super-2 number, since 2×3350052302 = 224457008254705800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 335005197 and 335005206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381552 + ... + 382428.

It is an arithmetic number, because the mean of its divisors is an integer number (7680744).

Almost surely, 2335005230 is an apocalyptic number.

335005230 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 335005230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491567616).

335005230 is an abundant number, since it is smaller than the sum of its proper divisors (648130002).

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

335005230 is a wasteful number, since it uses less digits than its factorization.

335005230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018.

The product of its (nonzero) digits is 1350, while the sum is 21.

The square root of 335005230 is about 18303.1480898779. The cubic root of 335005230 is about 694.5185700265.

Adding to 335005230 its reverse (32500533), we get a palindrome (367505763).

The spelling of 335005230 in words is "three hundred thirty-five million, five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 107 119 170 210 214 238 255 321 357 510 535 595 642 714 749 877 1070 1190 1498 1605 1754 1785 1819 2247 2631 3210 3570 3638 3745 4385 4494 5262 5457 6139 7490 8770 9095 10914 11235 12278 12733 13155 14909 18190 18417 22470 25466 26310 27285 29818 30695 36834 38199 44727 54570 61390 63665 74545 76398 89454 92085 93839 104363 127330 149090 184170 187678 190995 208726 223635 281517 313089 381990 447270 469195 521815 563034 626178 656873 938390 1043630 1313746 1407585 1565445 1595263 1970619 2815170 3130890 3190526 3284365 3941238 4785789 6568730 7976315 9571578 9853095 11166841 15952630 19706190 22333682 23928945 33500523 47857890 55834205 67001046 111668410 167502615 335005230