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2004230200 = 235271975347
BaseRepresentation
bin111011101110110…
…0010000000111000
312011200022102222011
41313131202000320
513101040331300
6530513335304
7100444450510
oct16735420070
95150272864
102004230200
119393768a5
1247b267534
1325c2c893b
1415027a840
15bae4aeba
hex77762038

2004230200 has 96 divisors (see below), whose sum is σ = 5605891200. Its totient is φ = 650989440.

The previous prime is 2004230153. The next prime is 2004230201. The reversal of 2004230200 is 20324002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004230201) 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, 11074 + ... + 64273.

It is an arithmetic number, because the mean of its divisors is an integer number (58394700).

Almost surely, 22004230200 is an apocalyptic number.

2004230200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004230200 is an abundant number, since it is smaller than the sum of its proper divisors (3601661000).

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

2004230200 is a wasteful number, since it uses less digits than its factorization.

2004230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75389 (or 75380 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2004230200 is about 44768.6296417480. The cubic root of 2004230200 is about 1260.8087106958.

Adding to 2004230200 its reverse (20324002), we get a palindrome (2024554202).

The spelling of 2004230200 in words is "two billion, four million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 13300 26600 75347 150694 301388 376735 527429 602776 753470 1054858 1431593 1506940 1883675 2109716 2637145 2863186 3013880 3767350 4219432 5274290 5726372 7157965 7534700 10021151 10548580 11452744 13185725 14315930 15069400 20042302 21097160 26371450 28631860 35789825 40084604 50105755 52742900 57263720 71579650 80169208 100211510 105485800 143159300 200423020 250528775 286318600 400846040 501057550 1002115100 2004230200