Search a number
-
+
2231330145 = 351125967311
BaseRepresentation
bin1000010011111111…
…0110010101100001
312202111122022112020
42010333312111201
514032210031040
61005225052053
7106202664462
oct20477662541
95674568466
102231330145
11a45589400
12523327029
13297380bc5
141724b4d69
15d0d59cd0
hex84ff6561

2231330145 has 96 divisors (see below), whose sum is σ = 4063288320. Its totient is φ = 1044278400.

The previous prime is 2231330141. The next prime is 2231330149. The reversal of 2231330145 is 5410331322.

It is an interprime number because it is at equal distance from previous prime (2231330141) and next prime (2231330149).

It is not a de Polignac number, because 2231330145 - 22 = 2231330141 is a prime.

It is a super-3 number, since 3×22313301453 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2231330141) 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 95 ways as a sum of consecutive naturals, for example, 7174540 + ... + 7174850.

It is an arithmetic number, because the mean of its divisors is an integer number (42325920).

Almost surely, 22231330145 is an apocalyptic number.

It is an amenable number.

2231330145 is a deficient number, since it is larger than the sum of its proper divisors (1831958175).

2231330145 is a wasteful number, since it uses less digits than its factorization.

2231330145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2231330145 is about 47236.9574062513. The cubic root of 2231330145 is about 1306.7362658665.

Adding to 2231330145 its reverse (5410331322), we get a palindrome (7641661467).

The spelling of 2231330145 in words is "two billion, two hundred thirty-one million, three hundred thirty thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 59 67 121 165 177 201 295 311 335 363 605 649 737 885 933 1005 1555 1815 1947 2211 3245 3421 3685 3953 4665 7139 8107 9735 10263 11055 11859 17105 18349 19765 20837 21417 24321 35695 37631 40535 43483 51315 55047 59295 62511 91745 104185 107085 112893 121605 130449 188155 201839 217415 229207 275235 312555 478313 564465 605517 652245 687621 1009195 1146035 1229383 1434939 2220229 2391565 2521277 3027585 3438105 3688149 6146915 6660687 7174695 7563831 11101145 12606385 13523213 18440745 33303435 37819155 40569639 67616065 148755343 202848195 446266029 743776715 2231330145