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22441344314422 = 21129457619124343
BaseRepresentation
bin1010001101001000010000…
…10110110010110000110110
32221110101000212111111211011
411012210020112302300312
510420134333121030142
6115421224455302434
74504222301216545
oct506441026626066
987411025444734
1022441344314422
117172358903610
12262534897aa1a
13c6a2958bb1c7
14578249c1615c
1528db3e289417
hex1469085b2c36

22441344314422 has 64 divisors (see below), whose sum is σ = 38133420019200. Its totient is φ = 9811359694080.

The previous prime is 22441344314399. The next prime is 22441344314429.

22441344314422 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×224413443144222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22441344314429) 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 31 ways as a sum of consecutive naturals, for example, 180417183 + ... + 180541525.

It is an arithmetic number, because the mean of its divisors is an integer number (595834687800).

Almost surely, 222441344314422 is an apocalyptic number.

22441344314422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22441344314422 is a deficient number, since it is larger than the sum of its proper divisors (15692075704778).

22441344314422 is a wasteful number, since it uses less digits than its factorization.

22441344314422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125461.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 2244134 and 4314422, that added together give a palindrome (6558556).

The spelling of 22441344314422 in words is "twenty-two trillion, four hundred forty-one billion, three hundred forty-four million, three hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 11 22 29 58 319 457 619 638 914 1238 5027 6809 10054 13253 13618 17951 26506 35902 124343 145783 197461 248686 282883 291566 394922 565766 1367773 2735546 3111713 3605947 6223426 7211894 8203607 16407214 39665417 56824751 76968317 79330834 90239677 113649502 153936634 180479354 625072261 846651487 1250144522 1647917779 1693302974 2232081193 3295835558 4464162386 18127095569 24552893123 35174520869 36254191138 49105786246 70349041738 386919729559 773839459118 1020061105201 2040122210402 11220672157211 22441344314422