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22020010022000 = 245337674441309
BaseRepresentation
bin1010000000110111011101…
…11000000001010001110000
32212222002111100200210110202
411000123232320001101300
510341233440031201000
6114455504123214332
74431615242634344
oct500335670012160
985862440623422
1022020010022000
11701a6a7662591
1225777609773a8
13c3962a3215c3
14561aba481624
15282bce90ddd5
hex1406eee01470

22020010022000 has 160 divisors (see below), whose sum is σ = 55499604613440. Its totient is φ = 8442038246400.

The previous prime is 22020010021991. The next prime is 22020010022027. The reversal of 22020010022000 is 22001002022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2737346 + ... + 7178654.

It is an arithmetic number, because the mean of its divisors is an integer number (346872528834).

Almost surely, 222020010022000 is an apocalyptic number.

22020010022000 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 22020010022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27749802306720).

22020010022000 is an abundant number, since it is smaller than the sum of its proper divisors (33479594591440).

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

22020010022000 is a wasteful number, since it uses less digits than its factorization.

22020010022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441436 (or 4441420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22020010022000 its reverse (22001002022), we get a palindrome (22042011024022).

The spelling of 22020010022000 in words is "twenty-two trillion, twenty billion, ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 67 74 80 100 125 134 148 185 200 250 268 296 335 370 400 500 536 592 670 740 925 1000 1072 1340 1480 1675 1850 2000 2479 2680 2960 3350 3700 4625 4958 5360 6700 7400 8375 9250 9916 12395 13400 14800 16750 18500 19832 24790 26800 33500 37000 39664 49580 61975 67000 74000 99160 123950 134000 198320 247900 309875 495800 619750 991600 1239500 2479000 4441309 4958000 8882618 17765236 22206545 35530472 44413090 71060944 88826180 111032725 164328433 177652360 222065450 297567703 328656866 355304720 444130900 555163625 595135406 657313732 821642165 888261800 1110327250 1190270812 1314627464 1487838515 1643284330 1776523600 2220654500 2380541624 2629254928 2975677030 3286568660 4108210825 4441309000 4761083248 5951354060 6573137320 7439192575 8216421650 8882618000 11010005011 11902708120 13146274640 14878385150 16432843300 20541054125 22020010022 23805416240 29756770300 32865686600 37195962875 41082108250 44040020044 55050025055 59513540600 65731373200 74391925750 82164216500 88080040088 110100050110 119027081200 148783851500 164328433000 176160080176 220200100220 275250125275 297567703000 328656866000 440400200440 550500250550 595135406000 880800400880 1101000501100 1376250626375 2202001002200 2752501252750 4404002004400 5505002505500 11010005011000 22020010022000