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2000020000 = 2554119091
BaseRepresentation
bin111011100110101…
…1110001000100000
312011101101112122211
41313031132020200
513044001120000
6530243211504
7100363614046
oct16715361040
95141345584
102000020000
11936a606a0
12479976b94
1325b4834b4
1414d8a2396
15ba8b87ba
hex7735e220

2000020000 has 120 divisors (see below), whose sum is σ = 5368244112. Its totient is φ = 727200000.

The previous prime is 2000019979. The next prime is 2000020007. The reversal of 2000020000 is 200002.

2000020000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

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 (2000020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215455 + ... + 224545.

Almost surely, 22000020000 is an apocalyptic number.

2000020000 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 2000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684122056).

2000020000 is an abundant number, since it is smaller than the sum of its proper divisors (3368224112).

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

2000020000 is an equidigital number, since it uses as much as digits as its factorization.

2000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2000020000 is about 44721.5831562345. The cubic root of 2000020000 is about 1259.9252496177.

Adding to 2000020000 its reverse (200002), we get a palindrome (2000220002).

Multiplying 2000020000 by its reverse (200002), we get a square (400008000040000 = 200002002).

2000020000 divided by its reverse (200002) gives a 4-th power (10000 = 104).

It can be divided in two parts, 20000 and 20000, that added together give a square (40000 = 2002).

The spelling of 2000020000 in words is "two billion, twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 9091 10000 11000 13750 18182 20000 22000 27500 36364 44000 45455 55000 72728 90910 100001 110000 145456 181820 200002 220000 227275 290912 363640 400004 454550 500005 727280 800008 909100 1000010 1136375 1454560 1600016 1818200 2000020 2272750 2500025 3200032 3636400 4000040 4545500 5000050 5681875 7272800 8000080 9091000 10000100 11363750 12500125 16000160 18182000 20000200 22727500 25000250 36364000 40000400 45455000 50000500 62500625 80000800 90910000 100001000 125001250 181820000 200002000 250002500 400004000 500005000 1000010000 2000020000