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120226200 = 233521511327
BaseRepresentation
bin1110010101010…
…00000110011000
322101020010100020
413022220012120
5221234214300
615532510440
72656622463
oct712500630
9271203306
10120226200
11619567a6
123431b420
131bba5b83
1411d782da
15a84c8a0
hex72a8198

120226200 has 96 divisors (see below), whose sum is σ = 375452160. Its totient is φ = 31824000.

The previous prime is 120226133. The next prime is 120226231. The reversal of 120226200 is 2622021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120226200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89937 + ... + 91263.

It is an arithmetic number, because the mean of its divisors is an integer number (3910960).

Almost surely, 2120226200 is an apocalyptic number.

120226200 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 120226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187726080).

120226200 is an abundant number, since it is smaller than the sum of its proper divisors (255225960).

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

120226200 is a wasteful number, since it uses less digits than its factorization.

120226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120226200 is about 10964.7708594389. The cubic root of 120226200 is about 493.5521409870.

Adding to 120226200 its reverse (2622021), we get a palindrome (122848221).

The spelling of 120226200 in words is "one hundred twenty million, two hundred twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 151 200 300 302 453 600 604 755 906 1208 1327 1510 1812 2265 2654 3020 3624 3775 3981 4530 5308 6040 6635 7550 7962 9060 10616 11325 13270 15100 15924 18120 19905 22650 26540 30200 31848 33175 39810 45300 53080 66350 79620 90600 99525 132700 159240 199050 200377 265400 398100 400754 601131 796200 801508 1001885 1202262 1603016 2003770 2404524 3005655 4007540 4809048 5009425 6011310 8015080 10018850 12022620 15028275 20037700 24045240 30056550 40075400 60113100 120226200