Search a number
-
+
241222352241200 = 245211101542804573
BaseRepresentation
bin110110110110001111110100…
…100111100000001000110000
31011122002122001110221200102112
4312312033310213200020300
5223104141334133204300
62213012004020304452
7101544511522113341
oct6666176447401060
91148078043850375
10241222352241200
116a951909206120
122307a611842128
13a47a229c52665
14437d31d09a0c8
151cd4b30ea2e35
hexdb63f49e0230

241222352241200 has 120 divisors (see below), whose sum is σ = 638481479431536. Its totient is φ = 86848731520000.

The previous prime is 241222352241197. The next prime is 241222352241217. The reversal of 241222352241200 is 2142253222142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270957887 + ... + 271846686.

Almost surely, 2241222352241200 is an apocalyptic number.

241222352241200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241222352241200 is an abundant number, since it is smaller than the sum of its proper divisors (397259127190336).

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

241222352241200 is a wasteful number, since it uses less digits than its factorization.

241222352241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542804703 (or 542804692 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 241222352241200 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 542804573 1085609146 2171218292 2714022865 4342436584 5428045730 5970850303 8684873168 10856091460 11941700606 13570114325 21712182920 23883401212 27140228650 29854251515 43424365840 47766802424 54280457300 54823261873 59708503030 95533604848 108560914600 109646523746 119417006060 149271257575 217121829200 219293047492 238834012120 274116309365 298542515150 438586094984 477668024240 548232618730 597085030300 603055880603 877172189968 1096465237460 1194170060600 1206111761206 1370581546825 2192930474920 2388340121200 2412223522412 2741163093650 3015279403015 4385860949840 4824447044824 5482326187300 6030558806030 9648894089648 10964652374600 12061117612060 15076397015075 21929304749200 24122235224120 30152794030150 48244470448240 60305588060300 120611176120600 241222352241200