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2068556200 = 235226938449
BaseRepresentation
bin111101101001011…
…1010100110101000
312100011100112122121
41323102322212220
513214022244300
6541132201024
7102155303044
oct17322724650
95304315577
102068556200
11971711987
12498909174
1326c72b969
14158a23024
15c190581a
hex7b4ba9a8

2068556200 has 48 divisors (see below), whose sum is σ = 4827397500. Its totient is φ = 824325120.

The previous prime is 2068556197. The next prime is 2068556219. The reversal of 2068556200 is 26558602.

It can be written as a sum of positive squares in 6 ways, for example, as 2490084 + 2066066116 = 1578^2 + 45454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34576 + ... + 73024.

Almost surely, 22068556200 is an apocalyptic number.

2068556200 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 2068556200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413698750).

2068556200 is an abundant number, since it is smaller than the sum of its proper divisors (2758841300).

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

2068556200 is a wasteful number, since it uses less digits than its factorization.

2068556200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38734 (or 38725 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2068556200 is about 45481.3830044778. The cubic root of 2068556200 is about 1274.1555243563.

The spelling of 2068556200 in words is "two billion, sixty-eight million, five hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 26900 38449 53800 76898 153796 192245 307592 384490 768980 961225 1537960 1922450 3844900 7689800 10342781 20685562 41371124 51713905 82742248 103427810 206855620 258569525 413711240 517139050 1034278100 2068556200