Search a number
-
+
2122442356200 = 2335219697179591
BaseRepresentation
bin11110111000101011011…
…011000011010111101000
321111220101122202000022120
4132320223123003113220
5234233230220344300
64303011521351240
7306225046234335
oct36705333032750
97456348660276
102122442356200
11749139418301
122a3415798520
131251b774750a
1474a2631d98c
153a3225c43a0
hex1ee2b6c35e8

2122442356200 has 96 divisors (see below), whose sum is σ = 6579941981760. Its totient is φ = 565952742400.

The previous prime is 2122442356117. The next prime is 2122442356231. The reversal of 2122442356200 is 26532442212.

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, 11728405 + ... + 11907995.

It is an arithmetic number, because the mean of its divisors is an integer number (68541062310).

Almost surely, 22122442356200 is an apocalyptic number.

2122442356200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122442356200 is an abundant number, since it is smaller than the sum of its proper divisors (4457499625560).

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

2122442356200 is a wasteful number, since it uses less digits than its factorization.

2122442356200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199307 (or 199298 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 2122442356200 its reverse (26532442212), we get a palindrome (2148974798412).

The spelling of 2122442356200 in words is "two trillion, one hundred twenty-two billion, four hundred forty-two million, three hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 19697 39394 59091 78788 98485 118182 157576 179591 196970 236364 295455 359182 393940 472728 492425 538773 590910 718364 787880 897955 984850 1077546 1181820 1436728 1477275 1795910 1969700 2155092 2363640 2693865 2954550 3591820 3939400 4310184 4489775 5387730 5909100 7183640 8979550 10775460 11818200 13469325 17959100 21550920 26938650 35918200 53877300 107754600 3537403927 7074807854 10612211781 14149615708 17687019635 21224423562 28299231416 35374039270 42448847124 53061058905 70748078540 84897694248 88435098175 106122117810 141496157080 176870196350 212244235620 265305294525 353740392700 424488471240 530610589050 707480785400 1061221178100 2122442356200