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2142320200 = 235243249107
BaseRepresentation
bin111111110110001…
…0011011001001000
312112022011010211121
41333230103121020
513341413221300
6552325205024
7104042264326
oct17754233110
95468133747
102142320200
119aa313969
124b9560774
13281ab77b7
14164744d16
15c812681a
hex7fb13648

2142320200 has 48 divisors (see below), whose sum is σ = 5096749680. Its totient is φ = 836996160.

The previous prime is 2142320197. The next prime is 2142320227. The reversal of 2142320200 is 20232412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115954 + ... + 133153.

It is an arithmetic number, because the mean of its divisors is an integer number (106182285).

Almost surely, 22142320200 is an apocalyptic number.

2142320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142320200 is an abundant number, since it is smaller than the sum of its proper divisors (2954429480).

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

2142320200 is a wasteful number, since it uses less digits than its factorization.

2142320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249166 (or 249157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2142320200 is about 46285.2049795612. The cubic root of 2142320200 is about 1289.1242980083.

Adding to 2142320200 its reverse (20232412), we get a palindrome (2162552612).

The spelling of 2142320200 in words is "two billion, one hundred forty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 249107 498214 996428 1245535 1992856 2491070 4982140 6227675 9964280 10711601 12455350 21423202 24910700 42846404 49821400 53558005 85692808 107116010 214232020 267790025 428464040 535580050 1071160100 2142320200