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22344044044322 = 27111381113761851
BaseRepresentation
bin1010001010010011000001…
…10011101110000000100010
32221010001212211212122202202
411011021200303232000202
510412041100233404242
6115304413453013202
74464206145450650
oct505114063560042
987101784778682
1022344044044322
11713506839a550
12260a513184202
13c6105a4cc2a0
14573659557dd0
1528b34707e932
hex145260cee022

22344044044322 has 64 divisors (see below), whose sum is σ = 45056083258368. Its totient is φ = 8025910920000.

The previous prime is 22344044044321. The next prime is 22344044044373.

It is a happy number.

22344044044322 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (22344044044321) 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 31 ways as a sum of consecutive naturals, for example, 5257304 + ... + 8504547.

It is an arithmetic number, because the mean of its divisors is an integer number (704001300912).

Almost surely, 222344044044322 is an apocalyptic number.

22344044044322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22344044044322 is an abundant number, since it is smaller than the sum of its proper divisors (22712039214046).

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

22344044044322 is a wasteful number, since it uses less digits than its factorization.

22344044044322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13762695.

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 2234404 and 4044322, that added together give a palindrome (6278726).

The spelling of 22344044044322 in words is "twenty-two trillion, three hundred forty-four billion, forty-four million, forty-four thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 811 1001 1622 2002 5677 8921 10543 11354 17842 21086 62447 73801 115973 124894 147602 231946 811811 1623622 13761851 27523702 96332957 151380361 178904063 192665914 302760722 357808126 1059662527 1252328441 1967944693 2119325054 2504656882 3935889386 11160861161 13775612851 22321722322 27551225702 78126028127 122769472771 145091195093 156252056254 245538945542 290182390186 859386309397 1015638365651 1596003146023 1718772618794 2031276731302 3192006292046 11172022022161 22344044044322