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10224222120200 = 23521117273374923
BaseRepresentation
bin1001010011001000001100…
…1000001010100100001000
31100012102111121201010122202
42110302003020022210020
52320003201330321300
633424535351135332
72103450520045454
oct224620310124410
940172447633582
1010224222120200
113292082929680
121191633374548
135921a87a44aa
14274bd8149664
1512ae4eb31ad5
hex94c8320a908

10224222120200 has 96 divisors (see below), whose sum is σ = 27457777366560. Its totient is φ = 3499199001600.

The previous prime is 10224222120179. The next prime is 10224222120257. The reversal of 10224222120200 is 202122242201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 136650062 + ... + 136724861.

It is an arithmetic number, because the mean of its divisors is an integer number (286018514235).

Almost surely, 210224222120200 is an apocalyptic number.

10224222120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224222120200 is an abundant number, since it is smaller than the sum of its proper divisors (17233555246360).

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

10224222120200 is a wasteful number, since it uses less digits than its factorization.

10224222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273374967 (or 273374958 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10224222120200 its reverse (202122242201), we get a palindrome (10426344362401).

The spelling of 10224222120200 in words is "ten trillion, two hundred twenty-four billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 273374923 546749846 1093499692 1366874615 2186999384 2733749230 3007124153 4647373691 5467498460 6014248306 6834373075 9294747382 10934996920 12028496612 13668746150 15035620765 18589494764 23236868455 24056993224 27337492300 30071241530 37178989528 46473736910 51121110601 54674984600 60142483060 75178103825 92947473820 102242221202 116184342275 120284966120 150356207650 185894947640 204484442404 232368684550 255605553005 300712415300 408968884808 464737369100 511211106010 601424830600 929474738200 1022422212020 1278027765025 2044844424040 2556055530050 5112111060100 10224222120200