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112229325 = 325213173761
BaseRepresentation
bin1101011000001…
…11101111001101
321211011211200200
412230013233031
5212212314300
615045244113
72531635125
oct654075715
9254154620
10112229325
115839460a
1231703639
131a335cb0
1410c95c85
159cbd200
hex6b07bcd

112229325 has 144 divisors (see below), whose sum is σ = 239265936. Its totient is φ = 49766400.

The previous prime is 112229323. The next prime is 112229329. The reversal of 112229325 is 523922211.

It is a happy number.

112229325 is a `hidden beast` number, since 112 + 229 + 325 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 84382596 + 27846729 = 9186^2 + 5277^2 .

It is not a de Polignac number, because 112229325 - 21 = 112229323 is a prime.

Its product of digits (2160) is a multiple of the sum of its prime factors (144).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112229321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1839795 + ... + 1839855.

It is an arithmetic number, because the mean of its divisors is an integer number (1661569).

Almost surely, 2112229325 is an apocalyptic number.

112229325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112229325 is an abundant number, since it is smaller than the sum of its proper divisors (127036611).

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

112229325 is a wasteful number, since it uses less digits than its factorization.

112229325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 112229325 is about 10593.8342917001. The cubic root of 112229325 is about 482.3572201406.

The spelling of 112229325 in words is "one hundred twelve million, two hundred twenty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 37 39 45 51 61 65 75 85 111 117 153 183 185 195 221 225 255 305 325 333 425 481 549 555 585 629 663 765 793 915 925 975 1037 1105 1275 1443 1525 1665 1887 1989 2257 2379 2405 2745 2775 2925 3111 3145 3315 3825 3965 4329 4575 5185 5525 5661 6771 7137 7215 8177 8325 9333 9435 9945 11285 11895 12025 13481 13725 15555 15725 16575 19825 20313 21645 24531 25925 28305 29341 33855 35685 36075 38369 40443 40885 46665 47175 49725 56425 59475 67405 73593 77775 88023 101565 108225 115107 121329 122655 141525 146705 169275 178425 191845 202215 204425 233325 264069 337025 345321 367965 440115 498797 507825 575535 606645 613275 733525 959225 1011075 1320345 1496391 1726605 1839825 2200575 2493985 2877675 3033225 4489173 6601725 7481955 8633025 12469925 22445865 37409775 112229325