Search a number
-
+
2002233226504 = 237414793181943
BaseRepresentation
bin11101001000101110011…
…001100111010100001000
321002102010002001111210211
4131020232121213110020
5230301033201222004
64131451354450504
7264441130421350
oct35105631472410
97072102044724
102002233226504
11702162504a25
12284067a33a34
13116a6b12a484
146cca12d9b60
15371390ae504
hex1d22e667508

2002233226504 has 64 divisors (see below), whose sum is σ = 4396087261440. Its totient is φ = 836991421440.

The previous prime is 2002233226423. The next prime is 2002233226529. The reversal of 2002233226504 is 4056223322002.

It is an unprimeable number.

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, 10913757 + ... + 11095699.

It is an arithmetic number, because the mean of its divisors is an integer number (68688863460).

Almost surely, 22002233226504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002233226504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198043630720).

2002233226504 is an abundant number, since it is smaller than the sum of its proper divisors (2393854034936).

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

2002233226504 is a wasteful number, since it uses less digits than its factorization.

2002233226504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186790 (or 186786 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 2002233226504 its reverse (4056223322002), we get a palindrome (6058456548506).

The spelling of 2002233226504 in words is "two trillion, two billion, two hundred thirty-three million, two hundred twenty-six thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 4793 9586 19172 33551 38344 67102 134204 181943 196513 268408 363886 393026 727772 786052 1273601 1375591 1455544 1572104 2547202 2751182 5094404 5502364 7459663 10188808 11004728 14919326 29838652 52217641 59677304 104435282 208870564 417741128 872052799 1744105598 3488211196 6104369593 6976422392 12208739186 24417478372 35754164759 48834956744 71508329518 143016659036 250279153313 286033318072 500558306626 1001116613252 2002233226504