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55224225 = 3252725009
BaseRepresentation
bin1101001010101…
…0011110100001
310211220200101200
43102222132201
5103114133400
65251351413
71240253400
oct322523641
9124820350
1055224225
1129199861
12165b2569
13b597274
147497637
154cacb00
hex34aa7a1

55224225 has 54 divisors (see below), whose sum is σ = 115084710. Its totient is φ = 25240320.

The previous prime is 55224217. The next prime is 55224227. The reversal of 55224225 is 52242255.

55224225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3038049 + 52186176 = 1743^2 + 7224^2 .

It is not a de Polignac number, because 55224225 - 23 = 55224217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55224227) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 8521 + ... + 13529.

Almost surely, 255224225 is an apocalyptic number.

It is an amenable number.

55224225 is an abundant number, since it is smaller than the sum of its proper divisors (59860485).

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

55224225 is a wasteful number, since it uses less digits than its factorization.

55224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5024 counting only the distinct ones).

The product of its digits is 8000, while the sum is 27.

The square root of 55224225 is about 7431.3003572726. The cubic root of 55224225 is about 380.8113435563.

The spelling of 55224225 in words is "fifty-five million, two hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 5009 11025 15027 25045 35063 45081 75135 105189 125225 175315 225405 245441 315567 375675 525945 736323 876575 1127025 1227205 1577835 2208969 2629725 3681615 6136025 7889175 11044845 18408075 55224225