Search a number
-
+
335048220 = 22325131311093
BaseRepresentation
bin10011111110000…
…110111000011100
3212100110012202100
4103332012320130
51141233020340
653125125100
711205601653
oct2376067034
9770405670
10335048220
11162142761
1294259790
135454c7b0
14326d819a
151e633830
hex13f86e1c

335048220 has 144 divisors (see below), whose sum is σ = 1103854752. Its totient is φ = 81768960.

The previous prime is 335048213. The next prime is 335048221. The reversal of 335048220 is 22840533.

It is a super-2 number, since 2×3350482202 = 224514619450336800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335048221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305994 + ... + 307086.

It is an arithmetic number, because the mean of its divisors is an integer number (7665658).

Almost surely, 2335048220 is an apocalyptic number.

335048220 is a gapful number since it is divisible by the number (30) 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 335048220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551927376).

335048220 is an abundant number, since it is smaller than the sum of its proper divisors (768806532).

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

335048220 is a wasteful number, since it uses less digits than its factorization.

335048220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 335048220 is about 18304.3224403418. The cubic root of 335048220 is about 694.5482771012.

Adding to 335048220 its reverse (22840533), we get a palindrome (357888753).

It can be divided in two parts, 33 and 5048220, that added together give a triangular number (5048253 = T3177).

The spelling of 335048220 in words is "three hundred thirty-five million, forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 180 195 234 260 262 390 393 468 524 585 655 780 786 1093 1170 1179 1310 1572 1703 1965 2186 2340 2358 2620 3279 3406 3930 4372 4716 5109 5465 5895 6558 6812 7860 8515 9837 10218 10930 11790 13116 14209 15327 16395 17030 19674 20436 21860 23580 25545 28418 30654 32790 34060 39348 42627 49185 51090 56836 61308 65580 71045 76635 85254 98370 102180 127881 142090 143183 153270 170508 196740 213135 255762 284180 286366 306540 426270 429549 511524 572732 639405 715915 852540 859098 1278810 1288647 1431830 1718196 1861379 2147745 2557620 2577294 2863660 3722758 4295490 5154588 5584137 6443235 7445516 8590980 9306895 11168274 12886470 16752411 18613790 22336548 25772940 27920685 33504822 37227580 55841370 67009644 83762055 111682740 167524110 335048220