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2202322002020 = 2257217139951023
BaseRepresentation
bin100000000011000100100…
…111101110000001100100
321210112120121101110102022
4200003010213232001210
5242040323413031040
64403422135402312
7315053410101200
oct40030447560144
97715517343368
102202322002020
11779aaa3a0518
122b69a9223398
1312c8a796012a
14788430c9b00
153c44a21c6b5
hex200c49ee064

2202322002020 has 144 divisors (see below), whose sum is σ = 5737413669120. Its totient is φ = 705551809536.

The previous prime is 2202322001989. The next prime is 2202322002053. The reversal of 2202322002020 is 202002232022.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2202322002020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840229 + ... + 2791251.

It is an arithmetic number, because the mean of its divisors is an integer number (39843150480).

Almost surely, 22202322002020 is an apocalyptic number.

2202322002020 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 2202322002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868706834560).

2202322002020 is an abundant number, since it is smaller than the sum of its proper divisors (3535091667100).

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

2202322002020 is a wasteful number, since it uses less digits than its factorization.

2202322002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951202 (or 951193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 2202322002020 its reverse (202002232022), we get a palindrome (2404324234042).

The spelling of 2202322002020 in words is "two trillion, two hundred two billion, three hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 139 140 170 196 238 245 278 340 476 490 556 595 695 833 973 980 1190 1390 1666 1946 2363 2380 2780 3332 3892 4165 4726 4865 6811 8330 9452 9730 11815 13622 16541 16660 19460 23630 27244 33082 34055 47260 66164 68110 82705 115787 136220 165410 231574 330820 463148 578935 951023 1157870 1902046 2315740 3804092 4755115 6657161 9510230 13314322 16167391 19020460 26628644 32334782 33285805 46600127 64669564 66571610 80836955 93200254 113171737 132192197 133143220 161673910 186400508 226343474 233000635 264384394 323347820 452686948 466001270 528768788 565858685 660960985 792202159 925345379 932002540 1131717370 1321921970 1584404318 1850690758 2247267349 2263434740 2643843940 3168808636 3701381516 3961010795 4494534698 4626726895 6477417653 7922021590 8989069396 9253453790 11236336745 12954835306 15730871443 15844043180 18506907580 22472673490 25909670612 31461742886 32387088265 44945346980 62923485772 64774176530 78654357215 110116100101 129548353060 157308714430 220232200202 314617428860 440464400404 550580500505 1101161001010 2202322002020