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2082898200 = 233527943943
BaseRepresentation
bin111110000100110…
…1000000100011000
312101011100012011210
41330021220010120
513231210220300
6542403423120
7102421225335
oct17411500430
95334305153
102082898200
11979818279
124a1684aa0
132726b0956
1415a8b798c
15c2cda050
hex7c268118

2082898200 has 96 divisors (see below), whose sum is σ = 6538867200. Its totient is φ = 548396160.

The previous prime is 2082898187. The next prime is 2082898219. The reversal of 2082898200 is 28982802.

It is a congruent number.

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, 25429 + ... + 69371.

It is an arithmetic number, because the mean of its divisors is an integer number (68113200).

Almost surely, 22082898200 is an apocalyptic number.

2082898200 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 2082898200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269433600).

2082898200 is an abundant number, since it is smaller than the sum of its proper divisors (4455969000).

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

2082898200 is a wasteful number, since it uses less digits than its factorization.

2082898200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44041 (or 44032 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2082898200 is about 45638.7795629988. The cubic root of 2082898200 is about 1277.0934619905.

The spelling of 2082898200 in words is "two billion, eighty-two million, eight hundred ninety-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 43943 47400 87886 131829 175772 219715 263658 351544 439430 527316 659145 878860 1054632 1098575 1318290 1757720 2197150 2636580 3295725 3471497 4394300 5273160 6591450 6942994 8788600 10414491 13182900 13885988 17357485 20828982 26365800 27771976 34714970 41657964 52072455 69429940 83315928 86787425 104144910 138859880 173574850 208289820 260362275 347149700 416579640 520724550 694299400 1041449100 2082898200