Search a number
-
+
2241142002 = 2321130373727
BaseRepresentation
bin1000010110010101…
…0001110011110010
312210012002210212100
42011211101303302
514042213021002
61010215241230
7106352251461
oct20545216362
95705083770
102241142002
11a50080180
12526679216
13299407c38
1417390a9d8
15d1b4711c
hex85951cf2

2241142002 has 48 divisors (see below), whose sum is σ = 5300410752. Its totient is φ = 678728160.

The previous prime is 2241141971. The next prime is 2241142003. The reversal of 2241142002 is 2002411422.

2241142002 is a `hidden beast` number, since 2 + 241 + 1 + 420 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2241142003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599463 + ... + 603189.

It is an arithmetic number, because the mean of its divisors is an integer number (110425224).

Almost surely, 22241142002 is an apocalyptic number.

2241142002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2241142002 is an abundant number, since it is smaller than the sum of its proper divisors (3059268750).

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

2241142002 is a wasteful number, since it uses less digits than its factorization.

2241142002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241142002 is about 47340.7013256035. The cubic root of 2241142002 is about 1308.6488413149.

Adding to 2241142002 its reverse (2002411422), we get a palindrome (4243553424).

The spelling of 2241142002 in words is "two billion, two hundred forty-one million, one hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3037 3727 6074 7454 9111 11181 18222 22362 27333 33407 33543 40997 54666 66814 67086 81994 100221 122991 200442 245982 300663 368973 601326 737946 11318899 22637798 33956697 67913394 101870091 124507889 203740182 249015778 373523667 747047334 1120571001 2241142002