Search a number
-
+
2231133813 = 321913129589
BaseRepresentation
bin1000010011111100…
…0110011001110101
312202111021100012200
42010333012121311
514032132240223
61005220535113
7106201216206
oct20477063165
95674240180
102231133813
11a45464947
12523251499
1329731272c
141724635ad
15d0d1ba43
hex84fc6675

2231133813 has 12 divisors (see below), whose sum is σ = 3224458380. Its totient is φ = 1486633536.

The previous prime is 2231133797. The next prime is 2231133823. The reversal of 2231133813 is 3183311322.

2231133813 is a `hidden beast` number, since 2 + 2 + 311 + 338 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1267217604 + 963916209 = 35598^2 + 31047^2 .

It is not a de Polignac number, because 2231133813 - 24 = 2231133797 is a prime.

It is a super-3 number, since 3×22311338133 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231133823) 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 11 ways as a sum of consecutive naturals, for example, 47578 + ... + 82011.

It is an arithmetic number, because the mean of its divisors is an integer number (268704865).

Almost surely, 22231133813 is an apocalyptic number.

It is an amenable number.

2231133813 is a deficient number, since it is larger than the sum of its proper divisors (993324567).

2231133813 is a wasteful number, since it uses less digits than its factorization.

2231133813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131508 (or 131505 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2231133813 is about 47234.8791995915. The cubic root of 2231133813 is about 1306.6979387024.

The spelling of 2231133813 in words is "two billion, two hundred thirty-one million, one hundred thirty-three thousand, eight hundred thirteen".

Divisors: 1 3 9 1913 5739 17217 129589 388767 1166301 247903757 743711271 2231133813