Search a number
-
+
2021900000 = 255520219
BaseRepresentation
bin111100010000011…
…1011111011100000
312012220120011101012
41320200323323200
513120101300000
6532344200052
7101050603121
oct17040737340
95186504335
102021900000
1194834543a
12485169028
13262b74543
1415275a048
15bc78b735
hex7883bee0

2021900000 has 72 divisors (see below), whose sum is σ = 4975697160. Its totient is φ = 808720000.

The previous prime is 2021899993. The next prime is 2021900017. The reversal of 2021900000 is 91202.

It is a super-2 number, since 2×20219000002 = 8176159220000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89891 + ... + 110109.

It is an arithmetic number, because the mean of its divisors is an integer number (69106905).

Almost surely, 22021900000 is an apocalyptic number.

2021900000 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 2021900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487848580).

2021900000 is an abundant number, since it is smaller than the sum of its proper divisors (2953797160).

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

2021900000 is an frugal number, since it uses more digits than its factorization.

2021900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20254 (or 20226 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2021900000 is about 44965.5423630139. The cubic root of 2021900000 is about 1264.5030777999.

Adding to 2021900000 its reverse (91202), we get a palindrome (2021991202).

The spelling of 2021900000 in words is "two billion, twenty-one million, nine 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 5000 6250 10000 12500 20000 20219 25000 40438 50000 80876 100000 101095 161752 202190 323504 404380 505475 647008 808760 1010950 1617520 2021900 2527375 3235040 4043800 5054750 8087600 10109500 12636875 16175200 20219000 25273750 40438000 50547500 63184375 80876000 101095000 126368750 202190000 252737500 404380000 505475000 1010950000 2021900000