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2223131301 = 321012445689
BaseRepresentation
bin1000010010000010…
…0100101010100101
312201221012202211100
42010200210222211
514023110200201
61004333230313
7106043206236
oct20440445245
95657182740
102223131301
11a409994a6
12520632399
13295770111
1417137d08d
15d028a886
hex84824aa5

2223131301 has 12 divisors (see below), whose sum is σ = 3242984940. Its totient is φ = 1467412800.

The previous prime is 2223131291. The next prime is 2223131341. The reversal of 2223131301 is 1031313222.

2223131301 is a `hidden beast` number, since 222 + 313 + 130 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1968696900 + 254434401 = 44370^2 + 15951^2 .

It is not a de Polignac number, because 2223131301 - 215 = 2223098533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1221936 + ... + 1223753.

It is an arithmetic number, because the mean of its divisors is an integer number (270248745).

Almost surely, 22223131301 is an apocalyptic number.

It is an amenable number.

2223131301 is a deficient number, since it is larger than the sum of its proper divisors (1019853639).

2223131301 is a wasteful number, since it uses less digits than its factorization.

2223131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445796 (or 2445793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2223131301 is about 47150.0933297061. The cubic root of 2223131301 is about 1305.1338022846.

Adding to 2223131301 its reverse (1031313222), we get a palindrome (3254444523).

The spelling of 2223131301 in words is "two billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 101 303 909 2445689 7337067 22011201 247014589 741043767 2223131301