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22020011000 = 2353137123857
BaseRepresentation
bin10100100000011111…
…101011001111111000
32002211121112110101222
4110200133223033320
5330044110323000
614041005131212
71406451001541
oct244037531770
962747473358
1022020011000
11937a7a41a9
124326559b08
1320cc03a410
1410cc6ad4c8
1588d282a85
hex5207eb3f8

22020011000 has 128 divisors (see below), whose sum is σ = 56274341760. Its totient is φ = 8015616000.

The previous prime is 22020010973. The next prime is 22020011017. The reversal of 22020011000 is 11002022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911072 + ... + 934928.

It is an arithmetic number, because the mean of its divisors is an integer number (439643295).

Almost surely, 222020011000 is an apocalyptic number.

22020011000 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 22020011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28137170880).

22020011000 is an abundant number, since it is smaller than the sum of its proper divisors (34254330760).

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

22020011000 is a wasteful number, since it uses less digits than its factorization.

22020011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23962 (or 23948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22020011000 its reverse (11002022), we get a palindrome (22031013022).

The spelling of 22020011000 in words is "twenty-two billion, twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 125 130 142 200 250 260 284 325 355 500 520 568 650 710 923 1000 1300 1420 1625 1775 1846 2600 2840 3250 3550 3692 4615 6500 7100 7384 8875 9230 13000 14200 17750 18460 23075 23857 35500 36920 46150 47714 71000 92300 95428 115375 119285 184600 190856 230750 238570 310141 461500 477140 596425 620282 923000 954280 1192850 1240564 1550705 1693847 2385700 2481128 2982125 3101410 3387694 4771400 5964250 6202820 6775388 7753525 8469235 11928500 12405640 13550776 15507050 16938470 22020011 23857000 31014100 33876940 38767625 42346175 44040022 62028200 67753880 77535250 84692350 88080044 110100055 155070500 169384700 176160088 211730875 220200110 310141000 338769400 423461750 440400220 550500275 846923500 880800440 1101000550 1693847000 2202001100 2752501375 4404002200 5505002750 11010005500 22020011000