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2132442200 = 235271980167
BaseRepresentation
bin111111100011010…
…0111110001011000
312111121120021202202
41333012213301120
513331401122300
6551333345332
7103562313440
oct17706476130
95447507682
102132442200
119a4787429
124b6198248
1327ca39625
141632d3120
15c7324ad5
hex7f1a7c58

2132442200 has 96 divisors (see below), whose sum is σ = 5964499200. Its totient is φ = 692634240.

The previous prime is 2132442131. The next prime is 2132442233. The reversal of 2132442200 is 22442312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13484 + ... + 66683.

It is an arithmetic number, because the mean of its divisors is an integer number (62130200).

Almost surely, 22132442200 is an apocalyptic number.

2132442200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132442200 is an abundant number, since it is smaller than the sum of its proper divisors (3832057000).

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

2132442200 is a wasteful number, since it uses less digits than its factorization.

2132442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80209 (or 80200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2132442200 is about 46178.3737262368. The cubic root of 2132442200 is about 1287.1399087241.

Adding to 2132442200 its reverse (22442312), we get a palindrome (2154884512).

The spelling of 2132442200 in words is "two billion, one hundred thirty-two million, four hundred forty-two 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 80167 160334 320668 400835 561169 641336 801670 1122338 1523173 1603340 2004175 2244676 2805845 3046346 3206680 4008350 4489352 5611690 6092692 7615865 8016700 10662211 11223380 12185384 14029225 15231730 16033400 21324422 22446760 28058450 30463460 38079325 42648844 53311055 56116900 60926920 76158650 85297688 106622110 112233800 152317300 213244220 266555275 304634600 426488440 533110550 1066221100 2132442200