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16206222420 = 2234526937189
BaseRepresentation
bin11110001011111011…
…10101010001010100
31112211102212101210000
433011331311101110
5231142243104140
611240043331300
71112414421603
oct170575652124
945742771700
1016206222420
116966a98853
123183520b30
1316b370b82b
14ada4d3a3a
1564cb7da30
hex3c5f75454

16206222420 has 120 divisors (see below), whose sum is σ = 51029886600. Its totient is φ = 4305477888.

The previous prime is 16206222419. The next prime is 16206222437. The reversal of 16206222420 is 2422260261.

It is a happy number.

16206222420 is a `hidden beast` number, since 16 + 2 + 0 + 6 + 222 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1233273924 + 14972948496 = 35118^2 + 122364^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417186 + ... + 454374.

It is an arithmetic number, because the mean of its divisors is an integer number (425249055).

Almost surely, 216206222420 is an apocalyptic number.

16206222420 is a gapful number since it is divisible by the number (10) 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 16206222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25514943300).

16206222420 is an abundant number, since it is smaller than the sum of its proper divisors (34823664180).

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

16206222420 is a wasteful number, since it uses less digits than its factorization.

16206222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37479 (or 37468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 16206222420 its reverse (2422260261), we get a palindrome (18628482681).

The spelling of 16206222420 in words is "sixteen billion, two hundred six million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 269 270 324 405 538 540 807 810 1076 1345 1614 1620 2421 2690 3228 4035 4842 5380 7263 8070 9684 12105 14526 16140 21789 24210 29052 36315 37189 43578 48420 72630 74378 87156 108945 111567 145260 148756 185945 217890 223134 334701 371890 435780 446268 557835 669402 743780 1004103 1115670 1338804 1673505 2008206 2231340 3012309 3347010 4016412 5020515 6024618 6694020 10003841 10041030 12049236 15061545 20007682 20082060 30011523 30123090 40015364 50019205 60023046 60246180 90034569 100038410 120046092 150057615 180069138 200076820 270103707 300115230 360138276 450172845 540207414 600230460 810311121 900345690 1080414828 1350518535 1620622242 1800691380 2701037070 3241244484 4051555605 5402074140 8103111210 16206222420