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22022102221000 = 235374422171143
BaseRepresentation
bin1010000000111011010111…
…00101001000000011001000
32212222021220011112111221121
411000131223211020003020
510341302231132033000
6114500451502245024
74432021136221030
oct500355345100310
985867804474847
1022022102221000
117020580652672
122578045586774
13c398a190a78b
14561c3829a8c0
15282ca3434b1a
hex14076b9480c8

22022102221000 has 128 divisors (see below), whose sum is σ = 58895553000960. Its totient is φ = 7550158176000.

The previous prime is 22022102220971. The next prime is 22022102221001. The reversal of 22022102221000 is 12220122022.

It is not an unprimeable number, because it can be changed into a prime (22022102221001) by changing a digit.

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, 309511429 + ... + 309582571.

It is an arithmetic number, because the mean of its divisors is an integer number (460121507820).

Almost surely, 222022102221000 is an apocalyptic number.

22022102221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022102221000 is an abundant number, since it is smaller than the sum of its proper divisors (36873450779960).

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

22022102221000 is a wasteful number, since it uses less digits than its factorization.

22022102221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115392 (or 115378 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22022102221000 its reverse (12220122022), we get a palindrome (22034322343022).

It can be divided in two parts, 220221022 and 21000, that added together give a palindrome (220242022).

The spelling of 22022102221000 in words is "twenty-two trillion, twenty-two billion, one hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 44221 71143 88442 142286 176884 221105 284572 309547 353768 355715 442210 498001 569144 619094 711430 884420 996002 1105525 1238188 1422860 1547735 1768840 1778575 1992004 2211050 2476376 2490005 2845720 3095470 3557150 3984008 4422100 4980010 5527625 6190940 7114300 7738675 8844200 8892875 9960020 11055250 12381880 12450025 14228600 15477350 17785750 19920040 22110500 24900050 30954700 35571500 38693375 44221000 49800100 61909400 62250125 71143000 77386750 99600200 124500250 154773500 249000500 309547000 498001000 3146014603 6292029206 12584058412 15730073015 22022102221 25168116824 31460146030 44044204442 62920292060 78650365075 88088408884 110110511105 125840584120 157300730150 176176817768 220221022210 314601460300 393251825375 440442044420 550552555525 629202920600 786503650750 880884088840 1101105111050 1573007301500 2202210222100 2752762777625 3146014603000 4404420444200 5505525555250 11011051110500 22022102221000