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22404344023000 = 2353292497730931
BaseRepresentation
bin1010001100000011010101…
…11101111000011111011000
32221022211112020220221220101
411012001222331320133120
510414033044032214000
6115352225154505144
74501442350016032
oct506015275703730
987284466827811
1022404344023000
1171586a1136a75
12261a1415951b4
13c6694a14a644
14576539bb6c52
1528cbc5cd9e6a
hex14606af787d8

22404344023000 has 128 divisors (see below), whose sum is σ = 54237888619200. Its totient is φ = 8652086016000.

The previous prime is 22404344022887. The next prime is 22404344023031. The reversal of 22404344023000 is 32044340422.

It is a happy number.

It is a super-2 number, since 2×224043440230002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22404344023000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724317535 + ... + 724348465.

Almost surely, 222404344023000 is an apocalyptic number.

22404344023000 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 22404344023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118944309600).

22404344023000 is an abundant number, since it is smaller than the sum of its proper divisors (31833544596200).

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

22404344023000 is a wasteful number, since it uses less digits than its factorization.

22404344023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55958 (or 55944 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 22404344023000 its reverse (32044340422), we get a palindrome (22436388363422).

The spelling of 22404344023000 in words is "twenty-two trillion, four hundred four billion, three hundred forty-four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 24977 29000 30931 49954 61862 99908 123724 124885 154655 199816 247448 249770 309310 499540 618620 624425 724333 773275 896999 999080 1237240 1248850 1448666 1546550 1793998 2497700 2897332 3093100 3122125 3587996 3621665 3866375 4484995 4995400 5794664 6186200 6244250 7175992 7243330 7732750 8969990 12488500 14486660 15465500 17939980 18108325 22424975 24977000 28973320 30931000 35879960 36216650 44849950 72433300 89699900 90541625 112124875 144866600 179399800 181083250 224249750 362166500 448499500 724333000 772563587 896999000 1545127174 3090254348 3862817935 6180508696 7725635870 15451271740 19314089675 22404344023 30902543480 38628179350 44808688046 77256358700 89617376092 96570448375 112021720115 154512717400 179234752184 193140896750 224043440230 386281793500 448086880460 560108600575 772563587000 896173760920 1120217201150 2240434402300 2800543002875 4480868804600 5601086005750 11202172011500 22404344023000