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225450852 = 2231115111311
BaseRepresentation
bin11010111000000…
…01101101100100
3120201020002102120
431130001231210
5430203411402
634212105540
75405205054
oct1534015544
9521202376
10225450852
11106296620
12636052b0
1337928793
1421d29564
1514bd53bc
hexd701b64

225450852 has 48 divisors (see below), whose sum is σ = 577726464. Its totient is φ = 67860000.

The previous prime is 225450847. The next prime is 225450871. The reversal of 225450852 is 258054522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14277 + ... + 25587.

It is an arithmetic number, because the mean of its divisors is an integer number (12035968).

Almost surely, 2225450852 is an apocalyptic number.

225450852 is a gapful number since it is divisible by the number (22) 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 225450852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288863232).

225450852 is an abundant number, since it is smaller than the sum of its proper divisors (352275612).

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

225450852 is a wasteful number, since it uses less digits than its factorization.

225450852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 225450852 is about 15015.0208791064. The cubic root of 225450852 is about 608.6261763564.

The spelling of 225450852 in words is "two hundred twenty-five million, four hundred fifty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 11311 19932 22622 33933 45244 67866 124421 135732 248842 373263 497684 746526 1493052 1707961 3415922 5123883 6831844 10247766 18787571 20495532 37575142 56362713 75150284 112725426 225450852