Search a number
-
+
2241114200 = 2352132929723
BaseRepresentation
bin1000010110010100…
…1011000001011000
312210012001101201122
42011211023001120
514042211123300
61010214504412
7106352104433
oct20545130130
95705041648
102241114200
11a500612a6
12526665108
132993c83a0
1417390081a
15d1b3dc85
hex8594b058

2241114200 has 96 divisors (see below), whose sum is σ = 5805097200. Its totient is φ = 798927360.

The previous prime is 2241114193. The next prime is 2241114257. The reversal of 2241114200 is 24111422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60539 + ... + 90261.

Almost surely, 22241114200 is an apocalyptic number.

2241114200 is a gapful number since it is divisible by the number (20) 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 2241114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902548600).

2241114200 is an abundant number, since it is smaller than the sum of its proper divisors (3563983000).

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

2241114200 is a wasteful number, since it uses less digits than its factorization.

2241114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29781 (or 29772 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2241114200 is about 47340.4076873024. The cubic root of 2241114200 is about 1308.6434299063.

Adding to 2241114200 its reverse (24111422), we get a palindrome (2265225622).

The spelling of 2241114200 in words is "two billion, two hundred forty-one million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 29723 37700 59446 75400 118892 148615 237784 297230 386399 594460 743075 772798 861967 1188920 1486150 1545596 1723934 1931995 2972300 3091192 3447868 3863990 4309835 5944600 6895736 7727980 8619670 9659975 11205571 15455960 17239340 19319950 21549175 22411142 34478680 38639900 43098350 44822284 56027855 77279800 86196700 89644568 112055710 172393400 224111420 280139275 448222840 560278550 1120557100 2241114200