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22006444096 = 267213539797
BaseRepresentation
bin10100011111101011…
…111011000001000000
32002210200000012010001
4110133223323001000
5330032122202341
614035402245344
71406224455100
oct243753730100
962720005101
1022006444096
11937307818a
124321ab6854
1320c929a170
1410ca97b200
1588bea2d31
hex51fafb040

22006444096 has 84 divisors (see below), whose sum is σ = 54706368108. Its totient is φ = 8705829888.

The previous prime is 22006444093. The next prime is 22006444111. The reversal of 22006444096 is 69044460022.

It can be written as a sum of positive squares in 2 ways, for example, as 1454354496 + 20552089600 = 38136^2 + 143360^2 .

It is not an unprimeable number, because it can be changed into a prime (22006444093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229131 + ... + 310666.

It is an arithmetic number, because the mean of its divisors is an integer number (651266287).

Almost surely, 222006444096 is an apocalyptic number.

22006444096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22006444096 is an abundant number, since it is smaller than the sum of its proper divisors (32699924012).

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

22006444096 is a wasteful number, since it uses less digits than its factorization.

22006444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539836 (or 539819 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 22006444096 in words is "twenty-two billion, six million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2912 3136 5096 5824 10192 20384 40768 539797 1079594 2159188 3778579 4318376 7017361 7557158 8636752 14034722 15114316 17273504 26450053 28069444 30228632 34547008 49121527 52900106 56138888 60457264 98243054 105800212 112277776 120914528 196486108 211600424 224555552 241829056 343850689 392972216 423200848 449111104 687701378 785944432 846401696 1375402756 1571888864 1692803392 2750805512 3143777728 5501611024 11003222048 22006444096