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2230230301 = 13241536073
BaseRepresentation
bin1000010011101110…
…1001110100011101
312202102120102211021
42010323221310131
514031414332201
61005145324141
7106160434105
oct20473516435
95672512737
102230230301
11a449a8042
12522a96651
13297087400
141722aa205
15d0bddea1
hex84ee9d1d

2230230301 has 24 divisors (see below), whose sum is σ = 2520977256. Its totient is φ = 1970242560.

The previous prime is 2230230293. The next prime is 2230230307. The reversal of 2230230301 is 1030320322.

It can be written as a sum of positive squares in 12 ways, for example, as 953883225 + 1276347076 = 30885^2 + 35726^2 .

It is not a de Polignac number, because 2230230301 - 23 = 2230230293 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 (2230230307) 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 23 ways as a sum of consecutive naturals, for example, 364201 + ... + 370273.

It is an arithmetic number, because the mean of its divisors is an integer number (105040719).

Almost surely, 22230230301 is an apocalyptic number.

It is an amenable number.

2230230301 is a deficient number, since it is larger than the sum of its proper divisors (290746955).

2230230301 is a wasteful number, since it uses less digits than its factorization.

2230230301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2230230301 is about 47225.3141969431. The cubic root of 2230230301 is about 1306.5215296403.

Adding to 2230230301 its reverse (1030320322), we get a palindrome (3260550623).

The spelling of 2230230301 in words is "two billion, two hundred thirty million, two hundred thirty thousand, three hundred one".

Divisors: 1 13 41 53 169 533 689 2173 6073 6929 8957 28249 78949 248993 321869 367237 1026337 3236909 4184297 13196629 42079817 54395861 171556177 2230230301