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2002224252303 = 3311232511167763
BaseRepresentation
bin11101001000101101110…
…111011000010110001111
321002102002110011120112000
4131020231313120112033
5230301023402033203
64131450434243343
7264440661223452
oct35105567302617
97072073146460
102002224252303
11702158435530
12284064a26553
13116a693077b2
146cca0041499
15371383da4a3
hex1d22ddd858f

2002224252303 has 64 divisors (see below), whose sum is σ = 3390065602560. Its totient is φ = 1156084380000.

The previous prime is 2002224252277. The next prime is 2002224252307. The reversal of 2002224252303 is 3032524222002.

2002224252303 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 2 + 425 + 230 + 3 = 666.

It is not a de Polignac number, because 2002224252303 - 25 = 2002224252271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002224252307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130700 + ... + 2298462.

It is an arithmetic number, because the mean of its divisors is an integer number (52969775040).

Almost surely, 22002224252303 is an apocalyptic number.

2002224252303 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2002224252303 is a deficient number, since it is larger than the sum of its proper divisors (1387841350257).

2002224252303 is a wasteful number, since it uses less digits than its factorization.

2002224252303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168057 (or 1168051 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 2002224252303 its reverse (3032524222002), we get a palindrome (5034748474305).

The spelling of 2002224252303 in words is "two trillion, two billion, two hundred twenty-four million, two hundred fifty-two thousand, three hundred three".

Divisors: 1 3 9 11 23 27 33 69 99 207 251 253 297 621 753 759 2259 2277 2761 5773 6777 6831 8283 17319 24849 51957 63503 74547 155871 190509 571527 1167763 1714581 3503289 10509867 12845393 26858549 31529601 38536179 80575647 115608537 241726941 293108513 295444039 346825611 725180823 879325539 886332117 2637976617 2658996351 3224193643 6741495799 7913929851 7976989053 9672580929 20224487397 29017742787 60673462191 74156453789 87053228361 182020386573 222469361367 667408084101 2002224252303