Search a number
-
+
33055234300 = 225211237691699
BaseRepresentation
bin11110110010001111…
…101101100011111100
310011022200020212221001
4132302033231203330
51020144114444200
623104012220044
72250065566324
oct366217554374
9104280225831
1033055234300
11130228aa860
1264a616a624
13316a34834a
14185810c284
15cd6e7d76a
hex7b23ed8fc

33055234300 has 144 divisors (see below), whose sum is σ = 81807264000. Its totient is φ = 11475763200.

The previous prime is 33055234291. The next prime is 33055234301. The reversal of 33055234300 is 343255033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33055234301) 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, 19454851 + ... + 19456549.

It is an arithmetic number, because the mean of its divisors is an integer number (568106000).

Almost surely, 233055234300 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 33055234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903632000).

33055234300 is an abundant number, since it is smaller than the sum of its proper divisors (48752029700).

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

33055234300 is a wasteful number, since it uses less digits than its factorization.

33055234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 28.

Adding to 33055234300 its reverse (343255033), we get a palindrome (33398489333).

The spelling of 33055234300 in words is "thirty-three billion, fifty-five million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 769 1012 1100 1150 1265 1538 1699 2300 2530 3076 3398 3845 5060 6325 6796 7690 8459 8495 12650 15380 16918 16990 17687 18689 19225 25300 33836 33980 35374 37378 38450 39077 42295 42475 70748 74756 76900 78154 84590 84950 88435 93445 156308 169180 169900 176870 186890 194557 195385 211475 353740 373780 389114 390770 422950 429847 442175 467225 778228 781540 845900 859694 884350 934450 972785 976925 1306531 1719388 1768700 1868900 1945570 1953850 2149235 2613062 3891140 3907700 4298470 4863925 5226124 6532655 8596940 9727850 10746175 13065310 14371841 19455700 21492350 26130620 28743682 30050213 32663275 42984700 57487364 60100426 65326550 71859205 120200852 130653100 143718410 150251065 287436820 300502130 330552343 359296025 601004260 661104686 718592050 751255325 1322209372 1437184100 1502510650 1652761715 3005021300 3305523430 6611046860 8263808575 16527617150 33055234300