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231210225 = 32523727773
BaseRepresentation
bin11011100011111…
…11110011110001
3121010001200210200
431301333303301
5433142211400
634535345413
75505153201
oct1561776361
9533050720
10231210225
1110956a734
1265522269
1338b940ac
14229c8401
1515471b00
hexdc7fcf1

231210225 has 36 divisors (see below), whose sum is σ = 425331036. Its totient is φ = 119975040.

The previous prime is 231210223. The next prime is 231210227. The reversal of 231210225 is 522012132.

231210225 is a `hidden beast` number, since 231 + 210 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (231210223) and next prime (231210227).

It can be written as a sum of positive squares in 6 ways, for example, as 5489649 + 225720576 = 2343^2 + 15024^2 .

It is not a de Polignac number, because 231210225 - 21 = 231210223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231210198 and 231210207.

It is not an unprimeable number, because it can be changed into a prime (231210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5562 + ... + 22211.

It is an arithmetic number, because the mean of its divisors is an integer number (11814751).

Almost surely, 2231210225 is an apocalyptic number.

231210225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

231210225 is a deficient number, since it is larger than the sum of its proper divisors (194120811).

231210225 is a wasteful number, since it uses less digits than its factorization.

231210225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27826 (or 27818 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 231210225 is about 15205.5984755616. The cubic root of 231210225 is about 613.7653198488.

Adding to 231210225 its reverse (522012132), we get a palindrome (753222357).

The spelling of 231210225 in words is "two hundred thirty-one million, two hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1665 2775 8325 27773 83319 138865 249957 416595 694325 1027601 1249785 2082975 3082803 5138005 6248925 9248409 15414015 25690025 46242045 77070075 231210225