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2125210000 = 24544612
BaseRepresentation
bin111111010101100…
…0010000110010000
312111002221212001111
41332223002012100
513323023210000
6550514343104
7103443662344
oct17653020620
95432855044
102125210000
119a0697801
124b388aa94
1327b3a6814
1416236d624
15c6896cba
hex7eac2190

2125210000 has 75 divisors (see below), whose sum is σ = 5156531413. Its totient is φ = 848240000.

The previous prime is 2125209979. The next prime is 2125210007. The reversal of 2125210000 is 125212.

The square root of 2125210000 is 46100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1917388944 + 207821056 = 43788^2 + 14416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2125210007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4609770 + ... + 4610230.

Almost surely, 22125210000 is an apocalyptic number.

2125210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2125210000 is the 46100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125210000

2125210000 is an abundant number, since it is smaller than the sum of its proper divisors (3031321413).

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

2125210000 is an frugal number, since it uses more digits than its factorization.

2125210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The cubic root of 2125210000 is about 1285.6831444544.

Adding to 2125210000 its reverse (125212), we get a palindrome (2125335212).

The spelling of 2125210000 in words is "two billion, one hundred twenty-five million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 461 500 625 922 1000 1250 1844 2000 2305 2500 3688 4610 5000 7376 9220 10000 11525 18440 23050 36880 46100 57625 92200 115250 184400 212521 230500 288125 425042 461000 576250 850084 922000 1062605 1152500 1700168 2125210 2305000 3400336 4250420 4610000 5313025 8500840 10626050 17001680 21252100 26565125 42504200 53130250 85008400 106260500 132825625 212521000 265651250 425042000 531302500 1062605000 2125210000