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222234042000 = 2435367552821
BaseRepresentation
bin1100111011111000101…
…1100101111010010000
3210020121212120001020110
43032332023211322100
512120113403321000
6250032022441320
722025111121615
oct3167613457220
9706555501213
10222234042000
1186281361023
12370a1893240
1317c587b7149
14aa82d8650c
155baa3d3850
hex33be2e5e90

222234042000 has 160 divisors (see below), whose sum is σ = 727177636224. Its totient is φ = 58377792000.

The previous prime is 222234041999. The next prime is 222234042007. The reversal of 222234042000 is 240432222.

It is not an unprimeable number, because it can be changed into a prime (222234042007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125590 + ... + 678410.

Almost surely, 2222234042000 is an apocalyptic number.

222234042000 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 222234042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363588818112).

222234042000 is an abundant number, since it is smaller than the sum of its proper divisors (504943594224).

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

222234042000 is a wasteful number, since it uses less digits than its factorization.

222234042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552914 (or 552898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 222234042000 its reverse (240432222), we get a palindrome (222474474222).

The spelling of 222234042000 in words is "two hundred twenty-two billion, two hundred thirty-four million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 125 134 150 200 201 240 250 268 300 335 375 400 402 500 536 600 670 750 804 1000 1005 1072 1200 1340 1500 1608 1675 2000 2010 2680 3000 3216 3350 4020 5025 5360 6000 6700 8040 8375 10050 13400 16080 16750 20100 25125 26800 33500 40200 50250 67000 80400 100500 134000 201000 402000 552821 1105642 1658463 2211284 2764105 3316926 4422568 5528210 6633852 8292315 8845136 11056420 13267704 13820525 16584630 22112840 26535408 27641050 33169260 37039007 41461575 44225680 55282100 66338520 69102625 74078014 82923150 110564200 111117021 132677040 138205250 148156028 165846300 185195035 207307875 221128400 222234042 276410500 296312056 331692600 370390070 414615750 444468084 552821000 555585105 592624112 663385200 740780140 829231500 888936168 925975175 1105642000 1111170210 1481560280 1658463000 1777872336 1851950350 2222340420 2777925525 2963120560 3316926000 3703900700 4444680840 4629875875 5555851050 7407801400 8889361680 9259751750 11111702100 13889627625 14815602800 18519503500 22223404200 27779255250 37039007000 44446808400 55558510500 74078014000 111117021000 222234042000