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2129500000 = 25564259
BaseRepresentation
bin111111011101101…
…1001011101100000
312111102000210211101
41332323121131200
513330123000000
6551150324144
7103525310545
oct17673313540
95442023741
102129500000
119a3057961
124b51b9654
1327c249394
14162b68bcc
15c6e42e6a
hex7eed9760

2129500000 has 84 divisors (see below), whose sum is σ = 5241729780. Its totient is φ = 851600000.

The previous prime is 2129499997. The next prime is 2129500007. The reversal of 2129500000 is 59212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129500007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 497871 + ... + 502129.

It is an arithmetic number, because the mean of its divisors is an integer number (62401545).

Almost surely, 22129500000 is an apocalyptic number.

2129500000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620864890).

2129500000 is an abundant number, since it is smaller than the sum of its proper divisors (3112229780).

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

2129500000 is an frugal number, since it uses more digits than its factorization.

2129500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2129500000 is about 46146.5058265520. The cubic root of 2129500000 is about 1286.5476666352.

Adding to 2129500000 its reverse (59212), we get a palindrome (2129559212).

The spelling of 2129500000 in words is "two billion, one hundred twenty-nine million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 4259 5000 6250 8518 10000 12500 15625 17036 20000 21295 25000 31250 34072 42590 50000 62500 68144 85180 100000 106475 125000 136288 170360 212950 250000 340720 425900 500000 532375 681440 851800 1064750 1703600 2129500 2661875 3407200 4259000 5323750 8518000 10647500 13309375 17036000 21295000 26618750 42590000 53237500 66546875 85180000 106475000 133093750 212950000 266187500 425900000 532375000 1064750000 2129500000