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222002232080 = 245235321110789
BaseRepresentation
bin1100111011000001011…
…1010011101100010000
3210020000201100212210212
43032300113103230100
512114130032411310
6245553022143252
722016264560136
oct3166027235420
9706021325725
10222002232080
1186172521882
1237038121b28
1317c1c773105
14aa60283756
155b94d94205
hex33b05d3b10

222002232080 has 160 divisors (see below), whose sum is σ = 551410778880. Its totient is φ = 82934691840.

The previous prime is 222002232079. The next prime is 222002232119. The reversal of 222002232080 is 80232200222.

It is a happy number.

It is a super-2 number, since 2×2220022320802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 20571326 + ... + 20582114.

It is an arithmetic number, because the mean of its divisors is an integer number (3446317368).

Almost surely, 2222002232080 is an apocalyptic number.

222002232080 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 222002232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275705389440).

222002232080 is an abundant number, since it is smaller than the sum of its proper divisors (329408546800).

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

222002232080 is a wasteful number, since it uses less digits than its factorization.

222002232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11089 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The spelling of 222002232080 in words is "two hundred twenty-two billion, two million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 53 80 92 106 115 184 211 212 230 265 368 422 424 460 530 844 848 920 1055 1060 1219 1688 1840 2110 2120 2438 3376 4220 4240 4853 4876 6095 8440 9706 9752 10789 11183 12190 16880 19412 19504 21578 22366 24265 24380 38824 43156 44732 48530 48760 53945 55915 77648 86312 89464 97060 97520 107890 111830 172624 178928 194120 215780 223660 248147 257209 388240 431560 447320 496294 514418 571817 863120 894640 992588 1028836 1143634 1240735 1286045 1985176 2057672 2276479 2287268 2481470 2572090 2859085 3970352 4115344 4552958 4574536 4962940 5144180 5718170 9105916 9149072 9925880 10288360 11382395 11436340 13151791 18211832 19851760 20576720 22764790 22872680 26303582 36423664 45529580 45745360 52359017 52607164 65758955 91059160 104718034 105214328 120653387 131517910 182118320 209436068 210428656 241306774 261795085 263035820 418872136 482613548 523590170 526071640 603266935 837744272 965227096 1047180340 1052143280 1206533870 1930454192 2094360680 2413067740 2775027901 4188721360 4826135480 5550055802 9652270960 11100111604 13875139505 22200223208 27750279010 44400446416 55500558020 111001116040 222002232080