Search a number
-
+
2002002222222 = 232111222345679
BaseRepresentation
bin11101001000100000101…
…000011001110010001110
321002101111222101021111200
4131020200220121302032
5230300100032102342
64131412423330330
7264432324053442
oct35104050316216
97071458337450
102002002222222
11702054075aa2
122840025b09a6
13116a32309052
146cc7c766822
1537123b7d94c
hex1d220a19c8e

2002002222222 has 12 divisors (see below), whose sum is σ = 4337671481520. Its totient is φ = 667334074068.

The previous prime is 2002002222163. The next prime is 2002002222271. The reversal of 2002002222222 is 2222222002002.

2002002222222 is a `hidden beast` number, since 20 + 0 + 200 + 2 + 222 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111222345679 = 2002002222222 / (2 + 0 + 0 + 2 + 0 + 0 + 2 + 2 + 2 + 2 + 2 + 2 + 2).

2002002222222 is a modest number, since divided by 2222222 gives 200200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2002002222195 and 2002002222204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55611172822 + ... + 55611172857.

It is an arithmetic number, because the mean of its divisors is an integer number (361472623460).

Almost surely, 22002002222222 is an apocalyptic number.

2002002222222 is an abundant number, since it is smaller than the sum of its proper divisors (2335669259298).

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

2002002222222 is a wasteful number, since it uses less digits than its factorization.

2002002222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111222345687 (or 111222345684 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2002002222222 its reverse (2222222002002), we get a palindrome (4224224224224).

It can be divided in two parts, 2002002 and 222222, that multiplied together give a palindrome (444888888444).

The spelling of 2002002222222 in words is "two trillion, two billion, two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 111222345679 222444691358 333667037037 667334074074 1001001111111 2002002222222