Search a number
-
+
22005328104 = 2333107952117
BaseRepresentation
bin10100011111100111…
…101010100011101000
32002210120220111021000
4110133213222203220
5330031330444404
614035322315000
71406212126344
oct243747524350
962716814230
1022005328104
119372485781
124321658a60
1320c8c99206
1410ca76a624
1588bd32339
hex51f9ea8e8

22005328104 has 64 divisors (see below), whose sum is σ = 61697246400. Its totient is φ = 7266549312.

The previous prime is 22005328073. The next prime is 22005328109. The reversal of 22005328104 is 40182350022.

22005328104 is a `hidden beast` number, since 2 + 20 + 0 + 532 + 8 + 104 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22005328109) by changing a digit.

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, 452947 + ... + 499170.

It is an arithmetic number, because the mean of its divisors is an integer number (964019475).

Almost surely, 222005328104 is an apocalyptic number.

22005328104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22005328104 is an abundant number, since it is smaller than the sum of its proper divisors (39691918296).

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

22005328104 is a wasteful number, since it uses less digits than its factorization.

22005328104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952239 (or 952229 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22005328104 its reverse (40182350022), we get a palindrome (62187678126).

The spelling of 22005328104 in words is "twenty-two billion, five million, three hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5778 7704 11556 23112 952117 1904234 2856351 3808468 5712702 7616936 8569053 11425404 17138106 22850808 25707159 34276212 51414318 68552424 101876519 102828636 203753038 205657272 305629557 407506076 611259114 815012152 916888671 1222518228 1833777342 2445036456 2750666013 3667554684 5501332026 7335109368 11002664052 22005328104