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2089666200 = 2335213012677
BaseRepresentation
bin111110010001101…
…1100011010011000
312101122002001010110
41330203130122120
513234423304300
6543204444320
7102532604166
oct17443343230
95348061113
102089666200
11982620166
124a39a96a0
13273c1039b
1415b75a236
15c36c5550
hex7c8dc698

2089666200 has 96 divisors (see below), whose sum is σ = 6485366160. Its totient is φ = 556608000.

The previous prime is 2089666193. The next prime is 2089666207. The reversal of 2089666200 is 26669802.

2089666200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2089666193) and next prime (2089666207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089666207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779262 + ... + 781938.

Almost surely, 22089666200 is an apocalyptic number.

2089666200 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 2089666200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242683080).

2089666200 is an abundant number, since it is smaller than the sum of its proper divisors (4395699960).

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

2089666200 is a wasteful number, since it uses less digits than its factorization.

2089666200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2089666200 is about 45712.8668976252. The cubic root of 2089666200 is about 1278.4751943810.

The spelling of 2089666200 in words is "two billion, eighty-nine million, six hundred sixty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1301 2602 2677 3903 5204 5354 6505 7806 8031 10408 10708 13010 13385 15612 16062 19515 21416 26020 26770 31224 32124 32525 39030 40155 52040 53540 64248 65050 66925 78060 80310 97575 107080 130100 133850 156120 160620 195150 200775 260200 267700 321240 390300 401550 535400 780600 803100 1606200 3482777 6965554 10448331 13931108 17413885 20896662 27862216 34827770 41793324 52241655 69655540 83586648 87069425 104483310 139311080 174138850 208966620 261208275 348277700 417933240 522416550 696555400 1044833100 2089666200