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2006206600 = 235237271109
BaseRepresentation
bin111011110010100…
…0100100010001000
312011211000212002011
41313211010202020
513102042102400
6531023545304
7100500321556
oct16745044210
95154025064
102006206600
1193a4a6792
1247ba5b234
1325c83b3c8
14150632bd6
15bb1db8ba
hex77944888

2006206600 has 48 divisors (see below), whose sum is σ = 4790513700. Its totient is φ = 780791040.

The previous prime is 2006206597. The next prime is 2006206603. The reversal of 2006206600 is 66026002.

It is an interprime number because it is at equal distance from previous prime (2006206597) and next prime (2006206603).

It can be written as a sum of positive squares in 6 ways, for example, as 711502276 + 1294704324 = 26674^2 + 35982^2 .

It is not an unprimeable number, because it can be changed into a prime (2006206603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128155 + ... + 142954.

Almost surely, 22006206600 is an apocalyptic number.

2006206600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006206600 is an abundant number, since it is smaller than the sum of its proper divisors (2784307100).

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

2006206600 is a wasteful number, since it uses less digits than its factorization.

2006206600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271162 (or 271153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2006206600 is about 44790.6976949455. The cubic root of 2006206600 is about 1261.2230083644.

The spelling of 2006206600 in words is "two billion, six million, two hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 271109 542218 1084436 1355545 2168872 2711090 5422180 6777725 10031033 10844360 13555450 20062066 27110900 40124132 50155165 54221800 80248264 100310330 200620660 250775825 401241320 501551650 1003103300 2006206600