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241114200 = 233523710861
BaseRepresentation
bin11100101111100…
…01110001011000
3121210200212111120
432113301301120
5443211123300
635531525240
75655302565
oct1627616130
9553625446
10241114200
11114114738
12688b9820
133ac51032
142404586c
151627b3a0
hexe5f1c58

241114200 has 96 divisors (see below), whose sum is σ = 767726160. Its totient is φ = 62553600.

The previous prime is 241114193. The next prime is 241114217. The reversal of 241114200 is 2411142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 241114200.

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, 16770 + ... + 27630.

Almost surely, 2241114200 is an apocalyptic number.

241114200 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 241114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383863080).

241114200 is an abundant number, since it is smaller than the sum of its proper divisors (526611960).

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

241114200 is a wasteful number, since it uses less digits than its factorization.

241114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 241114200 is about 15527.8523949708. The cubic root of 241114200 is about 622.4067052650.

Adding to 241114200 its reverse (2411142), we get a palindrome (243525342).

Multiplying 241114200 by its reverse (2411142), we get a square (581360574416400 = 241114202).

241114200 divided by its reverse (2411142) gives a square (100 = 102).

The spelling of 241114200 in words is "two hundred forty-one million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 10861 11100 21722 22200 32583 43444 54305 65166 86888 108610 130332 162915 217220 260664 271525 325830 401857 434440 543050 651660 803714 814575 1086100 1205571 1303320 1607428 1629150 2009285 2172200 2411142 3214856 3258300 4018570 4822284 6027855 6516600 8037140 9644568 10046425 12055710 16074280 20092850 24111420 30139275 40185700 48222840 60278550 80371400 120557100 241114200