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22004663328 = 253287412
BaseRepresentation
bin10100011111100101…
…001000010000100000
32002210112122201100200
4110133211020100200
5330031143211303
614035300145200
71406203360254
oct243745102040
962715581320
1022004663328
11937207127a
124321398200
1320c8ac575b
1410ca636264
1588bc503a3
hex51f948420

22004663328 has 54 divisors (see below), whose sum is σ = 62582921037. Its totient is φ = 7334048640.

The previous prime is 22004663327. The next prime is 22004663353. The reversal of 22004663328 is 82336640022.

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 2 ways, for example, as 19513854864 + 2490808464 = 139692^2 + 49908^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22004663292 and 22004663301.

It is not an unprimeable number, because it can be changed into a prime (22004663321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2513038 + ... + 2521778.

Almost surely, 222004663328 is an apocalyptic number.

It is an amenable number.

22004663328 is an abundant number, since it is smaller than the sum of its proper divisors (40578257709).

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

22004663328 is an frugal number, since it uses more digits than its factorization.

22004663328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22004663328 in words is "twenty-two billion, four million, six hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8741 17482 26223 34964 52446 69928 78669 104892 139856 157338 209784 279712 314676 419568 629352 839136 1258704 2517408 76405081 152810162 229215243 305620324 458430486 611240648 687645729 916860972 1222481296 1375291458 1833721944 2444962592 2750582916 3667443888 5501165832 7334887776 11002331664 22004663328