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22001112120200 = 23523122391584889
BaseRepresentation
bin1010000000010100010000…
…11110001111101110001000
32212220021201022221220201212
411000022020132033232020
510340431234200321300
6114443101003432252
74430346032262623
oct500121036175610
985807638856655
1022001112120200
11701268a251224
122573b67b25688
13c379080806a5
14560c066c2dba
152824757e0935
hex14028878fb88

22001112120200 has 96 divisors (see below), whose sum is σ = 52826285568000. Its totient is φ = 8512750425600.

The previous prime is 22001112120187. The next prime is 22001112120233. The reversal of 22001112120200 is 202121110022.

It is a super-2 number, since 2×220011121202002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13089356 + ... + 14674244.

It is an arithmetic number, because the mean of its divisors is an integer number (550273808000).

Almost surely, 222001112120200 is an apocalyptic number.

22001112120200 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 22001112120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26413142784000).

22001112120200 is an abundant number, since it is smaller than the sum of its proper divisors (30825173447800).

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

22001112120200 is a wasteful number, since it uses less digits than its factorization.

22001112120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587175 (or 1587166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22001112120200 its reverse (202121110022), we get a palindrome (22203233230222).

The spelling of 22001112120200 in words is "twenty-two trillion, one billion, one hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2239 3100 4478 6200 8956 11195 17912 22390 44780 55975 69409 89560 111950 138818 223900 277636 347045 447800 555272 694090 1388180 1584889 1735225 2776360 3169778 3470450 6339556 6940900 7924445 12679112 13881800 15848890 31697780 39622225 49131559 63395560 79244450 98263118 158488900 196526236 245657795 316977800 393052472 491315590 982631180 1228288975 1965262360 2456577950 3548566471 4913155900 7097132942 9826311800 14194265884 17742832355 28388531768 35485664710 70971329420 88714161775 110005560601 141942658840 177428323550 220011121202 354856647100 440022242404 550027803005 709713294200 880044484808 1100055606010 2200111212020 2750139015025 4400222424040 5500278030050 11000556060100 22001112120200