Search a number
-
+
2000001000 = 23353666667
BaseRepresentation
bin111011100110101…
…1001011111101000
312011101100120121010
41313031121133220
513044000013000
6530242543520
7100363504464
oct16715313750
95141316533
102000001000
11936a48398
12479967ba0
1325b47795a
1414d8994a4
15ba8b2d50
hex773597e8

2000001000 has 64 divisors (see below), whose sum is σ = 6240012480. Its totient is φ = 533332800.

The previous prime is 2000000983. The next prime is 2000001001. The reversal of 2000001000 is 1000002.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2000001001) 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 15 ways as a sum of consecutive naturals, for example, 330334 + ... + 336333.

It is an arithmetic number, because the mean of its divisors is an integer number (97500195).

Almost surely, 22000001000 is an apocalyptic number.

2000001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000001000 is an abundant number, since it is smaller than the sum of its proper divisors (4240011480).

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

2000001000 is a wasteful number, since it uses less digits than its factorization.

2000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666691 (or 666677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 2000001000 is about 44721.3707303343. The cubic root of 2000001000 is about 1259.9212598817.

Adding to 2000001000 its reverse (1000002), we get a palindrome (2001001002).

The spelling of 2000001000 in words is "two billion, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 666667 1333334 2000001 2666668 3333335 4000002 5333336 6666670 8000004 10000005 13333340 16000008 16666675 20000010 26666680 33333350 40000020 50000025 66666700 80000040 83333375 100000050 133333400 166666750 200000100 250000125 333333500 400000200 500000250 666667000 1000000500 2000001000