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2132351200 = 25527380777
BaseRepresentation
bin111111100011001…
…0001100011100000
312111121101122221101
41333012101203200
513331340214300
6551331404144
7103561454230
oct17706214340
95447348841
102132351200
119a4725021
124b6153654
1327ca07095
141632abcc0
15c7307b6a
hex7f1918e0

2132351200 has 72 divisors (see below), whose sum is σ = 5949275472. Its totient is φ = 731089920.

The previous prime is 2132351189. The next prime is 2132351203. The reversal of 2132351200 is 21532312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132351203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184789 + ... + 195988.

It is an arithmetic number, because the mean of its divisors is an integer number (82628826).

Almost surely, 22132351200 is an apocalyptic number.

2132351200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132351200 is an abundant number, since it is smaller than the sum of its proper divisors (3816924272).

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

2132351200 is a wasteful number, since it uses less digits than its factorization.

2132351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380804 (or 380791 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2132351200 is about 46177.3884060153. The cubic root of 2132351200 is about 1287.1215992950.

Adding to 2132351200 its reverse (21532312), we get a palindrome (2153883512).

The spelling of 2132351200 in words is "two billion, one hundred thirty-two million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 380777 761554 1523108 1903885 2665439 3046216 3807770 5330878 6092432 7615540 9519425 10661756 12184864 13327195 15231080 19038850 21323512 26654390 30462160 38077700 42647024 53308780 60924320 66635975 76155400 85294048 106617560 133271950 152310800 213235120 266543900 304621600 426470240 533087800 1066175600 2132351200