Search a number
-
+
2002241034 = 2322321122921
BaseRepresentation
bin111011101010111…
…1100011000001010
312011112120101100100
41313111330120022
513100033203114
6530402550230
7100421524263
oct16725743012
95145511310
102002241034
11938238362
1247a668376
1325ba80411
1414dcbd96a
15baba6909
hex7757c60a

2002241034 has 48 divisors (see below), whose sum is σ = 4548458304. Its totient is φ = 635342400.

The previous prime is 2002241029. The next prime is 2002241041. The reversal of 2002241034 is 4301422002.

2002241034 is a `hidden beast` number, since 200 + 22 + 410 + 34 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002240998 and 2002241016.

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 23 ways as a sum of consecutive naturals, for example, 75894 + ... + 98814.

It is an arithmetic number, because the mean of its divisors is an integer number (94759548).

Almost surely, 22002241034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002241034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274229152).

2002241034 is an abundant number, since it is smaller than the sum of its proper divisors (2546217270).

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

2002241034 is a wasteful number, since it uses less digits than its factorization.

2002241034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23163 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002241034 is about 44746.4080569603. The cubic root of 2002241034 is about 1260.3914618887.

Adding to 2002241034 its reverse (4301422002), we get a palindrome (6303663036).

The spelling of 2002241034 in words is "two billion, two million, two hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 211 414 422 633 1266 1899 3798 4853 9706 14559 22921 29118 43677 45842 68763 87354 137526 206289 412578 527183 1054366 1581549 3163098 4744647 4836331 9489294 9672662 14508993 29017986 43526979 87053958 111235613 222471226 333706839 667413678 1001120517 2002241034