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22022212202000 = 245331503706157
BaseRepresentation
bin1010000000111011100100…
…01000101010111000010000
32212222022011211111010111222
411000131302020222320100
510341302442310431000
6114500510431424212
74432023643103243
oct500356210527020
985868154433458
1022022212202000
117020627740a5a
122578076385068
13c398bb6372aa
14561c48b2925a
15282cace0ba85
hex14077222ae10

22022212202000 has 160 divisors (see below), whose sum is σ = 55076798859264. Its totient is φ = 8507767488000.

The previous prime is 22022212201993. The next prime is 22022212202017. The reversal of 22022212202000 is 20221222022.

It is a self number, because there is not a number n which added to its sum of digits gives 22022212202000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30832922 + ... + 31539078.

Almost surely, 222022212202000 is an apocalyptic number.

22022212202000 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 22022212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538399429632).

22022212202000 is an abundant number, since it is smaller than the sum of its proper divisors (33054586657264).

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

22022212202000 is a wasteful number, since it uses less digits than its factorization.

22022212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706714 (or 706698 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22022212202000 its reverse (20221222022), we get a palindrome (22042433424022).

The spelling of 22022212202000 in words is "twenty-two trillion, twenty-two billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 503 620 775 1000 1006 1240 1550 2000 2012 2480 2515 3100 3875 4024 5030 6200 7750 8048 10060 12400 12575 15500 15593 20120 25150 31000 31186 40240 50300 62000 62372 62875 77965 100600 124744 125750 155930 201200 249488 251500 311860 389825 503000 623720 706157 779650 1006000 1247440 1412314 1559300 1949125 2824628 3118600 3530785 3898250 5649256 6237200 7061570 7796500 11298512 14123140 15593000 17653925 21890867 28246280 31186000 35307850 43781734 56492560 70615700 87563468 88269625 109454335 141231400 175126936 176539250 218908670 282462800 350253872 353078500 355196971 437817340 547271675 706157000 710393942 875634680 1094543350 1412314000 1420787884 1751269360 1775984855 2189086700 2736358375 2841575768 3551969710 4378173400 5472716750 5683151536 7103939420 8756346800 8879924275 10945433500 11011106101 14207878840 17759848550 21890867000 22022212202 28415757680 35519697100 43781734000 44044424404 44399621375 55055530505 71039394200 88088848808 88799242750 110111061010 142078788400 176177697616 177598485500 220222122020 275277652525 355196971000 440444244040 550555305050 710393942000 880888488080 1101110610100 1376388262625 2202221220200 2752776525250 4404442440400 5505553050500 11011106101000 22022212202000