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120009225 = 35271953227
BaseRepresentation
bin1110010011100…
…11001000001001
322100211002201010
413021303020021
5221210243400
615524114133
72655030060
oct711631011
9270732633
10120009225
1161818786
1234235949
131bb2b19b
1411d1d1d7
15a808450
hex7273209

120009225 has 96 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 50768640.

The previous prime is 120009217. The next prime is 120009229. The reversal of 120009225 is 522900021.

It is not a de Polignac number, because 120009225 - 23 = 120009217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

120009225 is a modest number, since divided by 9225 gives 1200 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120009229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528562 + ... + 528788.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2120009225 is an apocalyptic number.

120009225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120009225 is an abundant number, since it is smaller than the sum of its proper divisors (124260855).

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

120009225 is a wasteful number, since it uses less digits than its factorization.

120009225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 120009225 is about 10954.8722037274. The cubic root of 120009225 is about 493.2550538791.

Adding to 120009225 its reverse (522900021), we get a palindrome (642909246).

The spelling of 120009225 in words is "one hundred twenty million, nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 19 21 25 35 53 57 75 95 105 133 159 175 227 265 285 371 399 475 525 665 681 795 1007 1113 1135 1325 1425 1589 1855 1995 3021 3325 3405 3975 4313 4767 5035 5565 5675 7049 7945 9275 9975 12031 12939 15105 17025 21147 21565 23835 25175 27825 30191 35245 36093 39725 60155 64695 75525 84217 90573 105735 107825 119175 150955 176225 180465 228589 252651 300775 323475 421085 452865 528675 685767 754775 902325 1142945 1263255 1600123 2105425 2264325 3428835 4800369 5714725 6316275 8000615 17144175 24001845 40003075 120009225