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2131230240 = 253251480021
BaseRepresentation
bin111111100000111…
…1111111000100000
312111112021201021100
41333001333320200
513331043331430
6551251354400
7103546105146
oct17701777040
95445251240
102131230240
119a4029907
124b58b2a00
1327c703aa9
14163099596
15c7185960
hex7f07fe20

2131230240 has 72 divisors (see below), whose sum is σ = 7272828108. Its totient is φ = 568327680.

The previous prime is 2131230221. The next prime is 2131230349. The reversal of 2131230240 is 420321312.

It can be written as a sum of positive squares in 2 ways, for example, as 1938464784 + 192765456 = 44028^2 + 13884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738571 + ... + 741450.

Almost surely, 22131230240 is an apocalyptic number.

2131230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131230240 is an abundant number, since it is smaller than the sum of its proper divisors (5141597868).

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

2131230240 is a wasteful number, since it uses less digits than its factorization.

2131230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480042 (or 1480031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2131230240 is about 46165.2492682537. The cubic root of 2131230240 is about 1286.8960165788.

Adding to 2131230240 its reverse (420321312), we get a palindrome (2551551552).

The spelling of 2131230240 in words is "two billion, one hundred thirty-one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1480021 2960042 4440063 5920084 7400105 8880126 11840168 13320189 14800210 17760252 22200315 23680336 26640378 29600420 35520504 44400630 47360672 53280756 59200840 66600945 71041008 88801260 106561512 118401680 133201890 142082016 177602520 213123024 236803360 266403780 355205040 426246048 532807560 710410080 1065615120 2131230240