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22022022002120 = 23573116811150919
BaseRepresentation
bin1010000000111011001101…
…10011000111010111001000
32212222021200120120222022222
411000131212303013113020
510341302100113031440
6114500435515033212
74432016143323530
oct500354663072710
985867616528288
1022022022002120
11702053a341a78
12257802273b808
13c3988b10189a
14561c2b7784c0
15282c9b38b2b5
hex140766cc75c8

22022022002120 has 128 divisors (see below), whose sum is σ = 58458632601600. Its totient is φ = 7306362950400.

The previous prime is 22022022002059. The next prime is 22022022002161. The reversal of 22022022002120 is 2120022022022.

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, 145844021 + ... + 145994939.

It is an arithmetic number, because the mean of its divisors is an integer number (456708067200).

Almost surely, 222022022002120 is an apocalyptic number.

22022022002120 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 22022022002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229316300800).

22022022002120 is an abundant number, since it is smaller than the sum of its proper divisors (36436610599480).

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

22022022002120 is a wasteful number, since it uses less digits than its factorization.

22022022002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167779 (or 167775 counting only the distinct ones).

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

Adding to 22022022002120 its reverse (2120022022022), we get a palindrome (24142044024142).

The spelling of 22022022002120 in words is "twenty-two trillion, twenty-two billion, twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 16811 33622 67244 84055 117677 134488 150919 168110 235354 301838 336220 470708 521141 588385 603676 672440 754595 941416 1042282 1056433 1176770 1207352 1509190 2084564 2112866 2353540 2605705 3018380 3647987 4169128 4225732 4678489 4707080 5211410 5282165 6036760 7295974 8451464 9356978 10422820 10564330 14591948 18239935 18713956 20845640 21128660 23392445 29183896 32749423 36479870 37427912 42257320 46784890 65498846 72959740 93569780 130997692 145919480 163747115 187139560 261995384 327494230 654988460 1309976920 2537099309 5074198618 10148397236 12685496545 17759695163 20296794472 25370993090 35519390326 50741986180 71038780652 78650078579 88798475815 101483972360 142077561304 157300157158 177596951630 314600314316 355193903260 393250392895 550550550053 629200628632 710387806520 786500785790 1101101100106 1573001571580 2202202200212 2752752750265 3146003143160 4404404400424 5505505500530 11011011001060 22022022002120