Search a number
-
+
22001306912 = 2513220172
BaseRepresentation
bin10100011111011000…
…010100110100100000
32002210022100012012222
4110133120110310200
5330024313310122
614035100210212
71406133010634
oct243730246440
962708305188
1022001306912
119370189582
124320239968
1320c81bbb00
1410ca000dc4
1588b7dab42
hex51f614d20

22001306912 has 54 divisors (see below), whose sum is σ = 46926569403. Its totient is φ = 10149414912.

The previous prime is 22001306851. The next prime is 22001306981. The reversal of 22001306912 is 21960310022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10808513296 + 11192793616 = 103964^2 + 105796^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104884.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10906928 + ... + 10908944.

Almost surely, 222001306912 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 22001306912

22001306912 is an abundant number, since it is smaller than the sum of its proper divisors (24925262491).

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

22001306912 is an frugal number, since it uses more digits than its factorization.

22001306912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 22001306912 its reverse (21960310022), we get a palindrome (43961616934).

The spelling of 22001306912 in words is "twenty-two billion, one million, three hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2017 2704 4034 5408 8068 16136 26221 32272 52442 64544 104884 209768 340873 419536 681746 839072 1363492 2726984 4068289 5453968 8136578 10907936 16273156 32546312 52887757 65092624 105775514 130185248 211551028 423102056 687540841 846204112 1375081682 1692408224 2750163364 5500326728 11000653456 22001306912