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2330042225 = 527101241547
BaseRepresentation
bin1000101011100001…
…1001111101110001
320000101101102001012
42022320121331301
514232442322400
61023112520305
7111512014010
oct21270317561
96011342035
102330042225
11a96280235
125503b0095
132b1963414
1418164ca77
15d9857d35
hex8ae19f71

2330042225 has 48 divisors (see below), whose sum is σ = 3354654336. Its totient is φ = 1572480000.

The previous prime is 2330042213. The next prime is 2330042279. The reversal of 2330042225 is 5222400332.

It is not a de Polignac number, because 2330042225 - 28 = 2330041969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2330042225.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4259402 + ... + 4259948.

It is an arithmetic number, because the mean of its divisors is an integer number (69888632).

Almost surely, 22330042225 is an apocalyptic number.

2330042225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2330042225 is a deficient number, since it is larger than the sum of its proper divisors (1024612111).

2330042225 is a wasteful number, since it uses less digits than its factorization.

2330042225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2330042225 is about 48270.5109254087. The cubic root of 2330042225 is about 1325.7285135785.

Adding to 2330042225 its reverse (5222400332), we get a palindrome (7552442557).

The spelling of 2330042225 in words is "two billion, three hundred thirty million, forty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 101 175 241 505 547 707 1205 1687 2525 2735 3535 3829 6025 8435 13675 17675 19145 24341 42175 55247 95725 121705 131827 170387 276235 386729 608525 659135 851935 922789 1381175 1933645 3295675 4259675 4613945 9668225 13314527 23069725 66572635 93201689 332863175 466008445 2330042225