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200220012222000 = 2435343776046559
BaseRepresentation
bin101101100001100101011010…
…101101001001011000110000
3222020220211211220102221202020
4231201211122231021120300
5202220401041112101000
61545455445342551440
760113263360331211
oct5541453255113060
9866824756387666
10200220012222000
11588839151a10a1
121a557b90b98580
138794887674a24
1437629b388d408
1518232ae395ba0
hexb6195ab49630

200220012222000 has 160 divisors (see below), whose sum is σ = 660521164892160. Its totient is φ = 52150328697600.

The previous prime is 200220012221993. The next prime is 200220012222047. The reversal of 200220012222000 is 222210022002.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 387765280 + ... + 388281279.

It is an arithmetic number, because the mean of its divisors is an integer number (4128257280576).

Almost surely, 2200220012222000 is an apocalyptic number.

200220012222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220012222000 is an abundant number, since it is smaller than the sum of its proper divisors (460301152670160).

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

200220012222000 is a wasteful number, since it uses less digits than its factorization.

200220012222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776046628 (or 776046612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200220012222000 its reverse (222210022002), we get a palindrome (200442222244002).

The spelling of 200220012222000 in words is "two hundred trillion, two hundred twenty billion, twelve million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 86000 129000 258000 776046559 1552093118 2328139677 3104186236 3880232795 4656279354 6208372472 7760465590 9312558708 11640698385 12416744944 15520931180 18625117416 19401163975 23281396770 31041862360 33370002037 37250234832 38802327950 46562793540 58203491925 62083724720 66740004074 77604655900 93125587080 97005819875 100110006111 116406983850 133480008148 155209311800 166850010185 186251174160 194011639750 200220012222 232813967700 266960016296 291017459625 310418623600 333700020370 388023279500 400440024444 465627935400 500550030555 533920032592 582034919250 667400040740 776046559000 800880048888 834250050925 931255870800 1001100061110 1164069838500 1334800081480 1552093118000 1601760097776 1668500101850 2002200122220 2328139677000 2502750152775 2669600162960 3337000203700 4004400244440 4171250254625 4656279354000 5005500305550 6674000407400 8008800488880 8342500509250 10011000611100 12513750763875 13348000814800 16685001018500 20022001222200 25027501527750 33370002037000 40044002444400 50055003055500 66740004074000 100110006111000 200220012222000