Search a number
-
+
2012221000 = 23532012221
BaseRepresentation
bin111011111110000…
…0000111001001000
312012020100102021201
41313330000321020
513110112033000
6531400513544
7100602411346
oct16774007110
95166312251
102012221000
11942934469
12481a7b8b4
13260b65b1a
1415135a996
15bb9c896a
hex77f00e48

2012221000 has 32 divisors (see below), whose sum is σ = 4708599480. Its totient is φ = 804888000.

The previous prime is 2012220989. The next prime is 2012221007. The reversal of 2012221000 is 1222102.

It can be written as a sum of positive squares in 4 ways, for example, as 814645764 + 1197575236 = 28542^2 + 34606^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2012221007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005111 + ... + 1007110.

Almost surely, 22012221000 is an apocalyptic number.

2012221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012221000 is an abundant number, since it is smaller than the sum of its proper divisors (2696378480).

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

2012221000 is a wasteful number, since it uses less digits than its factorization.

2012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012242 (or 2012228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2012221000 is about 44857.7863921081. The cubic root of 2012221000 is about 1262.4820897371.

Adding to 2012221000 its reverse (1222102), we get a palindrome (2013443102).

The spelling of 2012221000 in words is "two billion, twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2012221 4024442 8048884 10061105 16097768 20122210 40244420 50305525 80488840 100611050 201222100 251527625 402444200 503055250 1006110500 2012221000