Search a number
-
+
2112200020 = 225717887479
BaseRepresentation
bin111110111100101…
…1001110101010100
312110012110212201101
41331321121311110
513311210400040
6545331435444
7103225255360
oct17571316524
95405425641
102112200020
11994311157
124ab455b84
1327879cbc8
141607442a0
15c567709a
hex7de59d54

2112200020 has 48 divisors (see below), whose sum is σ = 5367479040. Its totient is φ = 681583104.

The previous prime is 2112199979. The next prime is 2112200021. The reversal of 2112200020 is 200022112.

It is a super-2 number, since 2×21122000202 = 8922777848976000800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112200021) 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, 441360 + ... + 446119.

It is an arithmetic number, because the mean of its divisors is an integer number (111822480).

Almost surely, 22112200020 is an apocalyptic number.

2112200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112200020 is an abundant number, since it is smaller than the sum of its proper divisors (3255279020).

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

2112200020 is a wasteful number, since it uses less digits than its factorization.

2112200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887512 (or 887510 counting only the distinct ones).

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

The square root of 2112200020 is about 45958.6773090784. The cubic root of 2112200020 is about 1283.0542339405.

Adding to 2112200020 its reverse (200022112), we get a palindrome (2312222132).

The spelling of 2112200020 in words is "two billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 887479 1774958 3549916 4437395 6212353 8874790 12424706 15087143 17749580 24849412 30174286 31061765 60348572 62123530 75435715 105610001 124247060 150871430 211220002 301742860 422440004 528050005 1056100010 2112200020