Search a number
-
+
2241267000 = 233537106727
BaseRepresentation
bin1000010110010111…
…0000010100111000
312210012100011022220
42011211300110320
514042231021000
61010222044040
7106353312060
oct20545602470
95705304286
102241267000
11a50156085
12526719620
1329944cabb
141739403a0
15d1b6e1a0
hex85970538

2241267000 has 128 divisors (see below), whose sum is σ = 7991792640. Its totient is φ = 512284800.

The previous prime is 2241266987. The next prime is 2241267019. The reversal of 2241267000 is 7621422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32364 + ... + 74363.

It is an arithmetic number, because the mean of its divisors is an integer number (62435880).

Almost surely, 22241267000 is an apocalyptic number.

2241267000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241267000 is an abundant number, since it is smaller than the sum of its proper divisors (5750525640).

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

2241267000 is a wasteful number, since it uses less digits than its factorization.

2241267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106758 (or 106744 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2241267000 is about 47342.0215031002. The cubic root of 2241267000 is about 1308.6731704957.

Adding to 2241267000 its reverse (7621422), we get a palindrome (2248888422).

The spelling of 2241267000 in words is "two billion, two hundred forty-one million, two hundred sixty-seven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 106727 213454 320181 426908 533635 640362 747089 853816 1067270 1280724 1494178 1600905 2134540 2241267 2561448 2668175 2988356 3201810 3735445 4269080 4482534 5336350 5976712 6403620 7470890 8004525 8965068 10672700 11206335 12807240 13340875 14941780 16009050 17930136 18677225 21345400 22412670 26681750 29883560 32018100 37354450 40022625 44825340 53363500 56031675 64036200 74708900 80045250 89650680 93386125 106727000 112063350 149417800 160090500 186772250 224126700 280158375 320181000 373544500 448253400 560316750 747089000 1120633500 2241267000