Search a number
-
+
2232242112 = 26355720873
BaseRepresentation
bin1000010100001101…
…0100111111000000
312202120100122111210
42011003110333000
514032423221422
61005300410120
7106213513332
oct20503247700
95676318453
102232242112
11a460515a1
125236a6940
13297610029
14172671452
15d0e8a10c
hex850d4fc0

2232242112 has 56 divisors (see below), whose sum is σ = 5917027536. Its totient is φ = 742709248.

The previous prime is 2232242083. The next prime is 2232242183. The reversal of 2232242112 is 2112422322.

It is a super-3 number, since 3×22322421123 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96508 + ... + 117380.

It is an arithmetic number, because the mean of its divisors is an integer number (105661206).

Almost surely, 22232242112 is an apocalyptic number.

It is an amenable number.

2232242112 is an abundant number, since it is smaller than the sum of its proper divisors (3684785424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2232242112 is a wasteful number, since it uses less digits than its factorization.

2232242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445 (or 21435 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2232242112 is about 47246.6095291503. The cubic root of 2232242112 is about 1306.9142670225.

Adding to 2232242112 its reverse (2112422322), we get a palindrome (4344664434).

The spelling of 2232242112 in words is "two billion, two hundred thirty-two million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 20873 26736 35648 41746 53472 62619 83492 106944 125238 166984 250476 333968 500952 667936 1001904 1335872 2003808 4007616 11626261 23252522 34878783 46505044 69757566 93010088 139515132 186020176 279030264 372040352 558060528 744080704 1116121056 2232242112