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120020220 = 2232531137157
BaseRepresentation
bin1110010011101…
…01110011111100
322100211122210100
413021311303330
5221211121340
615524241100
72655104115
oct711656374
9270748710
10120020220
1161825a71
1234240190
131bb331a8
1411d2320c
15a80b830
hex7275cfc

120020220 has 144 divisors (see below), whose sum is σ = 380959488. Its totient is φ = 30551040.

The previous prime is 120020213. The next prime is 120020237. The reversal of 120020220 is 22020021.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764382 + ... + 764538.

It is an arithmetic number, because the mean of its divisors is an integer number (2645552).

Almost surely, 2120020220 is an apocalyptic number.

120020220 is a gapful number since it is divisible by the number (10) 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 120020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190479744).

120020220 is an abundant number, since it is smaller than the sum of its proper divisors (260939268).

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

120020220 is a wasteful number, since it uses less digits than its factorization.

120020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

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

The square root of 120020220 is about 10955.3740237383. The cubic root of 120020220 is about 493.2701170925.

Adding to 120020220 its reverse (22020021), we get a palindrome (142040241).

The spelling of 120020220 in words is "one hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 137 155 157 180 186 274 279 310 314 372 411 465 471 548 558 620 628 685 785 822 930 942 1116 1233 1370 1395 1413 1570 1644 1860 1884 2055 2355 2466 2740 2790 2826 3140 4110 4247 4710 4867 4932 5580 5652 6165 7065 8220 8494 9420 9734 12330 12741 14130 14601 16988 19468 21235 21509 24335 24660 25482 28260 29202 38223 42470 43018 43803 48670 50964 58404 63705 64527 73005 76446 84940 86036 87606 97340 107545 127410 129054 146010 152892 175212 191115 193581 215090 219015 254820 258108 292020 322635 382230 387162 430180 438030 645270 666779 764460 774324 876060 967905 1290540 1333558 1935810 2000337 2667116 3333895 3871620 4000674 6001011 6667790 8001348 10001685 12002022 13335580 20003370 24004044 30005055 40006740 60010110 120020220