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22440404112 = 2437238393461
BaseRepresentation
bin10100111001100011…
…010110010010010000
32010220220120122100020
4110321203112102100
5331424220412422
614150423423440
71423044200460
oct247143262220
963826518306
1022440404112
119576028825
1244232b4b80
13216816c039
14112c461ba0
158b512395c
hex5398d6490

22440404112 has 160 divisors (see below), whose sum is σ = 69235568640. Its totient is φ = 6123701760.

The previous prime is 22440404101. The next prime is 22440404113. The reversal of 22440404112 is 21140404422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22440404113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6482062 + ... + 6485522.

It is an arithmetic number, because the mean of its divisors is an integer number (432722304).

Almost surely, 222440404112 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 22440404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617784320).

22440404112 is an abundant number, since it is smaller than the sum of its proper divisors (46795164528).

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

22440404112 is a wasteful number, since it uses less digits than its factorization.

22440404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22440404112 its reverse (21140404422), we get a palindrome (43580808534).

The spelling of 22440404112 in words is "twenty-two billion, four hundred forty million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 839 966 1104 1288 1678 1932 2517 2576 3356 3461 3864 5034 5873 6712 6922 7728 10068 10383 11746 13424 13844 17619 19297 20136 20766 23492 24227 27688 35238 38594 40272 41532 46984 48454 55376 57891 70476 72681 77188 79603 83064 93968 96908 115782 135079 140952 145362 154376 159206 166128 193816 231564 238809 270158 281904 290724 308752 318412 387632 405237 463128 477618 540316 557221 581448 636824 810474 926256 955236 1080632 1114442 1162896 1273648 1620948 1671663 1910472 2161264 2228884 2903779 3241896 3343326 3820944 4457768 5807558 6483792 6686652 8711337 8915536 11615116 13373304 17422674 20326453 23230232 26746608 34845348 40652906 46460464 60979359 66786917 69690696 81305812 121958718 133573834 139381392 162611624 200360751 243917436 267147668 325223248 400721502 467508419 487834872 534295336 801443004 935016838 975669744 1068590672 1402525257 1602886008 1870033676 2805050514 3205772016 3740067352 5610101028 7480134704 11220202056 22440404112