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225237105 = 3454211321
BaseRepresentation
bin11010110110011…
…01100001110001
3120200211020020000
431123031201301
5430130041410
634203340213
75403324642
oct1533154161
9520736200
10225237105
1110615aa75
1263521669
13378823c2
1421cb16c9
1514b91dc0
hexd6cd871

225237105 has 40 divisors (see below), whose sum is σ = 405023784. Its totient is φ = 119750400.

The previous prime is 225237083. The next prime is 225237127. The reversal of 225237105 is 501732522.

It is an interprime number because it is at equal distance from previous prime (225237083) and next prime (225237127).

It can be written as a sum of positive squares in 4 ways, for example, as 10556001 + 214681104 = 3249^2 + 14652^2 .

It is not a de Polignac number, because 225237105 - 25 = 225237073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169845 + ... + 171165.

Almost surely, 2225237105 is an apocalyptic number.

It is an amenable number.

225237105 is a deficient number, since it is larger than the sum of its proper divisors (179786679).

225237105 is a wasteful number, since it uses less digits than its factorization.

225237105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225237105 is about 15007.9014189193. The cubic root of 225237105 is about 608.4337720361.

Adding to 225237105 its reverse (501732522), we get a palindrome (726969627).

The spelling of 225237105 in words is "two hundred twenty-five million, two hundred thirty-seven thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 421 1263 1321 2105 3789 3963 6315 6605 11367 11889 18945 19815 34101 35667 56835 59445 107001 170505 178335 535005 556141 1668423 2780705 5005269 8342115 15015807 25026345 45047421 75079035 225237105