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112653225 = 3252312521
BaseRepresentation
bin1101011011011…
…11001110101001
321211222101011200
412231233032221
5212314400400
615102314413
72535352026
oct655571651
9254871150
10112653225
1158654043
1231888a09
131a453c19
1410d6654d
159d53b00
hex6b6f3a9

112653225 has 54 divisors (see below), whose sum is σ = 208893438. Its totient is φ = 58032000.

The previous prime is 112653221. The next prime is 112653239. The reversal of 112653225 is 522356211.

It is a happy number.

112653225 is a `hidden beast` number, since 1 + 1 + 2 + 653 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2214144 + 110439081 = 1488^2 + 10509^2 .

It is not a de Polignac number, because 112653225 - 22 = 112653221 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112653221) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 215965 + ... + 216485.

It is an arithmetic number, because the mean of its divisors is an integer number (3868397).

Almost surely, 2112653225 is an apocalyptic number.

112653225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112653225 is a deficient number, since it is larger than the sum of its proper divisors (96240213).

112653225 is a wasteful number, since it uses less digits than its factorization.

112653225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 560 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 112653225 is about 10613.8223557774. The cubic root of 112653225 is about 482.9637589669.

The spelling of 112653225 in words is "one hundred twelve million, six hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 521 775 961 1395 1563 2325 2605 2883 4689 4805 6975 7815 8649 13025 14415 16151 23445 24025 39075 43245 48453 72075 80755 117225 145359 216225 242265 403775 500681 726795 1211325 1502043 2503405 3633975 4506129 7510215 12517025 22530645 37551075 112653225