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22430204320000 = 2854140188777
BaseRepresentation
bin1010001100110011100000…
…10111000101100100000000
32221102022021111122011100011
411012121300113011210000
510414444024301220000
6115412143230434304
74503346241635651
oct506316027054400
987368244564304
1022430204320000
117168661647954
12262315a062994
13c6920b988c29
145778b0503528
1528d6db2952ba
hex1466705c5900

22430204320000 has 90 divisors (see below), whose sum is σ = 55948079600798. Its totient is φ = 8972081664000.

The previous prime is 22430204319977. The next prime is 22430204320079. The reversal of 22430204320000 is 2340203422.

It can be written as a sum of positive squares in 5 ways, for example, as 6933573716224 + 15496630603776 = 2633168^2 + 3936576^2 .

It is a super-2 number, since 2×224302043200002 (a number of 28 digits) contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 69934389 + ... + 70254388.

Almost surely, 222430204320000 is an apocalyptic number.

22430204320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22430204320000 is an abundant number, since it is smaller than the sum of its proper divisors (33517875280798).

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

22430204320000 is an frugal number, since it uses more digits than its factorization.

22430204320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140188813 (or 140188784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 22430204320000 its reverse (2340203422), we get a palindrome (22432544523422).

The spelling of 22430204320000 in words is "twenty-two trillion, four hundred thirty billion, two hundred four million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 140188777 280377554 560755108 700943885 1121510216 1401887770 2243020432 2803775540 3504719425 4486040864 5607551080 7009438850 8972081728 11215102160 14018877700 17523597125 17944163456 22430204320 28037755400 35047194250 35888326912 44860408640 56075510800 70094388500 87617985625 89720817280 112151021600 140188777000 175235971250 179441634560 224302043200 280377554000 350471942500 448604086400 560755108000 700943885000 897208172800 1121510216000 1401887770000 2243020432000 2803775540000 4486040864000 5607551080000 11215102160000 22430204320000