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2022102000 = 243253112339
BaseRepresentation
bin111100010000110…
…1101001111110000
312012220221102110200
41320201231033300
513120124231000
6532352355200
7101052404052
oct17041551760
95186842420
102022102000
11948473186
12485245b00
13262c15479
141527ad8d2
15bc7cb500
hex7886d3f0

2022102000 has 120 divisors (see below), whose sum is σ = 7062591120. Its totient is φ = 539222400.

The previous prime is 2022101987. The next prime is 2022102031. The reversal of 2022102000 is 2012202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38170 + ... + 74169.

It is an arithmetic number, because the mean of its divisors is an integer number (58854926).

Almost surely, 22022102000 is an apocalyptic number.

2022102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022102000 is an abundant number, since it is smaller than the sum of its proper divisors (5040489120).

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

2022102000 is a wasteful number, since it uses less digits than its factorization.

2022102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112368 (or 112349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022102000 is about 44967.7884713047. The cubic root of 2022102000 is about 1264.5451868913.

Adding to 2022102000 its reverse (2012202), we get a palindrome (2024114202).

The spelling of 2022102000 in words is "two billion, twenty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 112339 224678 337017 449356 561695 674034 898712 1011051 1123390 1348068 1685085 1797424 2022102 2246780 2696136 2808475 3370170 4044204 4493560 5055255 5392272 5616950 6740340 8088408 8425425 8987120 10110510 11233900 13480680 14042375 16176816 16850850 20221020 22467800 25276275 26961360 28084750 33701700 40442040 42127125 44935600 50552550 56169500 67403400 80884080 84254250 101105100 112339000 126381375 134806800 168508500 202210200 224678000 252762750 337017000 404420400 505525500 674034000 1011051000 2022102000