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225320749 = 2913756713
BaseRepresentation
bin11010110111000…
…01111100101101
3120200222110221221
431123201330231
5430140230444
634205223341
75404123543
oct1533417455
9520873857
10225320749
111062078a5
1263561b51
13378b14b4
1421cd3d93
1514baba84
hexd6e1f2d

225320749 has 8 divisors (see below), whose sum is σ = 234795960. Its totient is φ = 215959296.

The previous prime is 225320743. The next prime is 225320759. The reversal of 225320749 is 947023522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58446025 + 166874724 = 7645^2 + 12918^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225320749 - 221 = 223223597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225320743) 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 7 ways as a sum of consecutive naturals, for example, 24384 + ... + 32329.

It is an arithmetic number, because the mean of its divisors is an integer number (29349495).

Almost surely, 2225320749 is an apocalyptic number.

225320749 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

225320749 is a deficient number, since it is larger than the sum of its proper divisors (9475211).

225320749 is a wasteful number, since it uses less digits than its factorization.

225320749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56879.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 225320749 is about 15010.6878256794. The cubic root of 225320749 is about 608.5090786572.

The spelling of 225320749 in words is "two hundred twenty-five million, three hundred twenty thousand, seven hundred forty-nine".

Divisors: 1 29 137 3973 56713 1644677 7769681 225320749