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2242787921040 = 2435211137332257
BaseRepresentation
bin100000101000110000100…
…100111100110010010000
321221102000202011010122210
4200220300210330302100
5243221212201433130
64434153400432120
7321015242532402
oct40506044746220
97842022133583
102242787921040
117951853483a7
12302801178640
131336563c4104
147a7a14dab72
153d517a895b0
hex20a3093cc90

2242787921040 has 160 divisors (see below), whose sum is σ = 6990898018176. Its totient is φ = 594790318080.

The previous prime is 2242787920991. The next prime is 2242787921069. The reversal of 2242787921040 is 401297872422.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 69512592 + ... + 69544848.

Almost surely, 22242787921040 is an apocalyptic number.

2242787921040 is a gapful number since it is divisible by the number (20) 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 2242787921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495449009088).

2242787921040 is an abundant number, since it is smaller than the sum of its proper divisors (4748110097136).

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

2242787921040 is a wasteful number, since it uses less digits than its factorization.

2242787921040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33857 (or 33851 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 2242787921040 in words is "two trillion, two hundred forty-two billion, seven hundred eighty-seven million, nine hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1373 1688 2110 2532 2746 3165 3376 4119 4220 5064 5492 6330 6865 8238 8440 10128 10984 12660 13730 16476 16880 20595 21968 25320 27460 32257 32952 41190 50640 54920 64514 65904 82380 96771 109840 129028 161285 164760 193542 258056 289703 322570 329520 387084 483855 516112 579406 645140 774168 869109 967710 1158812 1290280 1448515 1548336 1738218 1935420 2317624 2580560 2897030 3476436 3870840 4345545 4635248 5794060 6806227 6952872 7741680 8691090 11588120 13612454 13905744 17382180 20418681 23176240 27224908 34031135 34764360 40837362 44288861 54449816 68062270 69528720 81674724 88577722 102093405 108899632 132866583 136124540 163349448 177155444 204186810 221444305 265733166 272249080 326698896 354310888 408373620 442888610 531466332 544498160 664332915 708621776 816747240 885777220 1062932664 1328665830 1633494480 1771554440 2125865328 2657331660 3543108880 5314663320 9344949671 10629326640 18689899342 28034849013 37379798684 46724748355 56069698026 74759597368 93449496710 112139396052 140174245065 149519194736 186898993420 224278792104 280348490130 373797986840 448557584208 560696980260 747595973680 1121393960520 2242787921040