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22422840720 = 2435716381883
BaseRepresentation
bin10100111000100000…
…010110010110010000
32010212200112022220020
4110320200112112100
5331410221400340
614144555143440
71422442000320
oct247040262620
963780468806
1022422840720
119567122125
124419444b80
13216462c9b7
141129dad280
158b38049d0
hex538816590

22422840720 has 160 divisors (see below), whose sum is σ = 79929265152. Its totient is φ = 5093715456.

The previous prime is 22422840719. The next prime is 22422840731. The reversal of 22422840720 is 2704822422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232899 + ... + 314781.

Almost surely, 222422840720 is an apocalyptic number.

22422840720 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 22422840720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39964632576).

22422840720 is an abundant number, since it is smaller than the sum of its proper divisors (57506424432).

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

22422840720 is a wasteful number, since it uses less digits than its factorization.

22422840720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82069 (or 82063 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 22422840720 in words is "twenty-two billion, four hundred twenty-two million, eight hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 163 168 210 240 280 326 336 420 489 560 652 815 840 978 1141 1304 1630 1680 1956 2282 2445 2608 3260 3423 3912 4564 4890 5705 6520 6846 7824 9128 9780 11410 13040 13692 17115 18256 19560 22820 27384 34230 39120 45640 54768 68460 81883 91280 136920 163766 245649 273840 327532 409415 491298 573181 655064 818830 982596 1146362 1228245 1310128 1637660 1719543 1965192 2292724 2456490 2865905 3275320 3439086 3930384 4585448 4912980 5731810 6550640 6878172 8597715 9170896 9825960 11463620 13346929 13756344 17195430 19651920 22927240 26693858 27512688 34390860 40040787 45854480 53387716 66734645 68781720 80081574 93428503 106775432 133469290 137563440 160163148 186857006 200203935 213550864 266938580 280285509 320326296 373714012 400407870 467142515 533877160 560571018 640652592 747428024 800815740 934285030 1067754320 1121142036 1401427545 1494856048 1601631480 1868570060 2242284072 2802855090 3203262960 3737140120 4484568144 5605710180 7474280240 11211420360 22422840720