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2000166672 = 243724319777
BaseRepresentation
bin111011100111000…
…0001111100010000
312011101122222212010
41313032001330100
513044020313142
6530250302520
7100365064500
oct16716017420
95141588763
102000166672
11937050909
12479a27a40
1325b50519a
1414d8dda00
15ba8e6e9c
hex77381f10

2000166672 has 120 divisors (see below), whose sum is σ = 6150799776. Its totient is φ = 558157824.

The previous prime is 2000166667. The next prime is 2000166691. The reversal of 2000166672 is 2766610002.

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, 91248 + ... + 111024.

Almost surely, 22000166672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075399888).

2000166672 is an abundant number, since it is smaller than the sum of its proper divisors (4150633104).

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

2000166672 is a wasteful number, since it uses less digits than its factorization.

2000166672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19845 (or 19832 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2000166672 is about 44723.2229607840. Note that the first 3 decimals coincide. The cubic root of 2000166672 is about 1259.9560478496.

Adding to 2000166672 its reverse (2766610002), we get a palindrome (4766776674).

The spelling of 2000166672 in words is "two billion, one hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 688 784 903 1032 1176 1204 1806 2064 2107 2352 2408 3612 4214 4816 6321 7224 8428 12642 14448 16856 19777 25284 33712 39554 50568 59331 79108 101136 118662 138439 158216 237324 276878 316432 415317 474648 553756 830634 850411 949296 969073 1107512 1661268 1700822 1938146 2215024 2551233 2907219 3322536 3401644 3876292 5102466 5814438 5952877 6645072 6803288 7752584 10204932 11628876 11905754 13606576 15505168 17858631 20409864 23257752 23811508 35717262 40819728 41670139 46515504 47623016 71434524 83340278 95246032 125010417 142869048 166680556 250020834 285738096 333361112 500041668 666722224 1000083336 2000166672