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22245541513104 = 24371310095047417
BaseRepresentation
bin1010000111011011100011…
…00110011000011110010000
32220202122122000222121111210
411003231301212120132100
510403432332111404404
6115151243301540120
74454121153655440
oct503556146303620
986678560877453
1022245541513104
1170a7310275958
1225b3402a14640
13c54990006960
1456c99333c120
152889ce53e689
hex143b71998790

22245541513104 has 160 divisors (see below), whose sum is σ = 70799526595840. Its totient is φ = 5861140217856.

The previous prime is 22245541513099. The next prime is 22245541513121. The reversal of 22245541513104 is 40131514554222.

It is a super-2 number, since 2×222455415131042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883604 + ... + 6931020.

It is an arithmetic number, because the mean of its divisors is an integer number (442497041224).

Almost surely, 222245541513104 is an apocalyptic number.

22245541513104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22245541513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35399763297920).

22245541513104 is an abundant number, since it is smaller than the sum of its proper divisors (48553985082736).

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

22245541513104 is a wasteful number, since it uses less digits than its factorization.

22245541513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048457 (or 5048451 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 22245541513104 in words is "twenty-two trillion, two hundred forty-five billion, five hundred forty-one million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1009 1092 1456 2018 2184 3027 4036 4368 6054 7063 8072 12108 13117 14126 16144 21189 24216 26234 28252 39351 42378 48432 52468 56504 78702 84756 91819 104936 113008 157404 169512 183638 209872 275457 314808 339024 367276 550914 629616 734552 1101828 1469104 2203656 4407312 5047417 10094834 15142251 20189668 30284502 35331919 40379336 60569004 65616421 70663838 80758672 105995757 121138008 131232842 141327676 196849263 211991514 242276016 262465684 282655352 393698526 423983028 459314947 524931368 565310704 787397052 847966056 918629894 1049862736 1377944841 1574794104 1695932112 1837259788 2755889682 3149588208 3674519576 5092843753 5511779364 7349039152 10185687506 11023558728 15278531259 20371375012 22047117456 30557062518 35649906271 40742750024 61114125036 66206968789 71299812542 81485500048 106949718813 122228250072 132413937578 142599625084 198620906367 213899437626 244456500144 264827875156 285199250168 397241812734 427798875252 463448781523 529655750312 570398500336 794483625468 855597750504 926897563046 1059311500624 1390346344569 1588967250936 1711195501008 1853795126092 2780692689138 3177934501872 3707590252184 5561385378276 7415180504368 11122770756552 22245541513104