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241440216200 = 235219421150919
BaseRepresentation
bin1110000011011011110…
…1010101010010001000
3212002012101100210012122
43200312331111102020
512423432143404300
6302525513430412
723305053655601
oct3406675252210
9762171323178
10241440216200
1193437786a67
123a961a0b408
13199c9891271
14b985a6cda8
1564315e6c85
hex3836f55488

241440216200 has 96 divisors (see below), whose sum is σ = 592300632000. Its totient is φ = 91275206400.

The previous prime is 241440216151. The next prime is 241440216217. The reversal of 241440216200 is 2612044142.

241440216200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 241440216200.

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, 1524341 + ... + 1675259.

It is an arithmetic number, because the mean of its divisors is an integer number (6169798250).

Almost surely, 2241440216200 is an apocalyptic number.

241440216200 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 241440216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296150316000).

241440216200 is an abundant number, since it is smaller than the sum of its proper divisors (350860415800).

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

241440216200 is a wasteful number, since it uses less digits than its factorization.

241440216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151375 (or 151366 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 241440216200 in words is "two hundred forty-one billion, four hundred forty million, two hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 421 475 760 842 950 1684 1900 2105 3368 3800 4210 7999 8420 10525 15998 16840 21050 31996 39995 42100 63992 79990 84200 150919 159980 199975 301838 319960 399950 603676 754595 799900 1207352 1509190 1599800 2867461 3018380 3772975 5734922 6036760 7545950 11469844 14337305 15091900 22939688 28674610 30183800 57349220 63536899 71686525 114698440 127073798 143373050 254147596 286746100 317684495 508295192 573492200 635368990 1207201081 1270737980 1588422475 2414402162 2541475960 3176844950 4828804324 6036005405 6353689900 9657608648 12072010810 12707379800 24144021620 30180027025 48288043240 60360054050 120720108100 241440216200