Search a number
-
+
2000500000 = 25564001
BaseRepresentation
bin111011100111101…
…0011010100100000
312011102021221002121
41313033103110200
513044112000000
6530301354024
7100400653342
oct16717232440
95142257077
102000500000
11937259294
12479b68914
1325b5c0b15
1414d989292
15ba960b1a
hex773d3520

2000500000 has 84 divisors (see below), whose sum is σ = 4924272906. Its totient is φ = 800000000.

The previous prime is 2000499989. The next prime is 2000500001. The reversal of 2000500000 is 50002.

It can be written as a sum of positive squares in 7 ways, for example, as 1605444624 + 395055376 = 40068^2 + 19876^2 .

It is a sliding number, since 2000500000 = 500000 + 2000000000 and 1/500000 + 1/2000000000 = 0.000002000500000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000500001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 498000 + ... + 502000.

Almost surely, 22000500000 is an apocalyptic number.

2000500000 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 2000500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462136453).

2000500000 is an abundant number, since it is smaller than the sum of its proper divisors (2923772906).

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

2000500000 is an frugal number, since it uses more digits than its factorization.

2000500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 2000500000 is about 44726.9493705976. The cubic root of 2000500000 is about 1260.0260345675.

Adding to 2000500000 its reverse (50002), we get a palindrome (2000550002).

It can be divided in two parts, 2000 and 500000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 2000500000 in words is "two billion, 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 4001 5000 6250 8002 10000 12500 15625 16004 20000 20005 25000 31250 32008 40010 50000 62500 64016 80020 100000 100025 125000 128032 160040 200050 250000 320080 400100 500000 500125 640160 800200 1000250 1600400 2000500 2500625 3200800 4001000 5001250 8002000 10002500 12503125 16004000 20005000 25006250 40010000 50012500 62515625 80020000 100025000 125031250 200050000 250062500 400100000 500125000 1000250000 2000500000