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22002122000 = 245323974931
BaseRepresentation
bin10100011111011011…
…011011110100010000
32002210100212121022102
4110133123123310100
5330030020401000
614035125455532
71406142644165
oct243733336420
962710777272
1022002122000
119370695a01
1243205715a8
1320c8415b01
1410ca17406c
1588b8ec3d5
hex51f6dbd10

22002122000 has 160 divisors (see below), whose sum is σ = 56097909504. Its totient is φ = 8329728000.

The previous prime is 22002121997. The next prime is 22002122029. The reversal of 22002122000 is 22120022.

It is an unprimeable number.

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, 4459535 + ... + 4464465.

Almost surely, 222002122000 is an apocalyptic number.

22002122000 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 22002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048954752).

22002122000 is an abundant number, since it is smaller than the sum of its proper divisors (34095787504).

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

22002122000 is a wasteful number, since it uses less digits than its factorization.

22002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22002122000 its reverse (22120022), we get a palindrome (22024242022).

The spelling of 22002122000 in words is "twenty-two billion, two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 97 100 115 125 184 194 200 230 250 368 388 400 460 485 500 575 776 920 970 1000 1150 1552 1840 1940 2000 2231 2300 2425 2875 3880 4462 4600 4850 4931 5750 7760 8924 9200 9700 9862 11155 11500 12125 17848 19400 19724 22310 23000 24250 24655 35696 38800 39448 44620 46000 48500 49310 55775 78896 89240 97000 98620 111550 113413 123275 178480 194000 197240 223100 226826 246550 278875 394480 446200 453652 478307 493100 557750 567065 616375 892400 907304 956614 986200 1115500 1134130 1232750 1814608 1913228 1972400 2231000 2268260 2391535 2465500 2835325 3826456 4462000 4536520 4783070 4931000 5670650 7652912 9073040 9566140 9862000 11001061 11341300 11957675 14176625 19132280 22002122 22682600 23915350 28353250 38264560 44004244 45365200 47830700 55005305 56706500 59788375 88008488 95661400 110010610 113413000 119576750 176016976 191322800 220021220 226826000 239153500 275026525 440042440 478307000 550053050 880084880 956614000 1100106100 1375132625 2200212200 2750265250 4400424400 5500530500 11001061000 22002122000