Search a number
-
+
2232133311 = 34327762467
BaseRepresentation
bin1000010100001011…
…1010011010111111
312202120011010021010
42011002322122333
514032411231221
61005254210303
7106212551202
oct20502723277
95676133233
102232133311
11a45a87881
12523653993
132975a2655
14172643939
15d0e67c76
hex850ba6bf

2232133311 has 16 divisors (see below), whose sum is σ = 3056434304. Its totient is φ = 1448211744.

The previous prime is 2232133249. The next prime is 2232133327. The reversal of 2232133311 is 1133312322.

It is a de Polignac number, because none of the positive numbers 2k-2232133311 is a prime.

It is a super-3 number, since 3×22321333113 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232133361) 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 15 ways as a sum of consecutive naturals, for example, 4500 + ... + 66966.

It is an arithmetic number, because the mean of its divisors is an integer number (191027144).

Almost surely, 22232133311 is an apocalyptic number.

2232133311 is a deficient number, since it is larger than the sum of its proper divisors (824300993).

2232133311 is a wasteful number, since it uses less digits than its factorization.

2232133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62790.

The product of its digits is 648, while the sum is 21.

The square root of 2232133311 is about 47245.4580991655. The cubic root of 2232133311 is about 1306.8930333805.

Adding to 2232133311 its reverse (1133312322), we get a palindrome (3365445633).

The spelling of 2232133311 in words is "two billion, two hundred thirty-two million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 43 129 277 831 11911 35733 62467 187401 2686081 8058243 17303359 51910077 744044437 2232133311