Search a number
-
+
2241330112 = 2679751577
BaseRepresentation
bin1000010110010111…
…1111101111000000
312210012110100220101
42011211333233000
514042240030422
61010223252144
7106353664060
oct20545775700
95705410811
102241330112
11a5019953a
1252674a054
13299472748
141739593a0
15d1b82c27
hex8597fbc0

2241330112 has 56 divisors (see below), whose sum is σ = 5135518304. Its totient is φ = 950648832.

The previous prime is 2241330107. The next prime is 2241330131. The reversal of 2241330112 is 2110331422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2241330112.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17668 + ... + 69244.

It is an arithmetic number, because the mean of its divisors is an integer number (91705684).

Almost surely, 22241330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567759152).

2241330112 is an abundant number, since it is smaller than the sum of its proper divisors (2894188192).

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

2241330112 is an equidigital number, since it uses as much as digits as its factorization.

2241330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51693 (or 51683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2241330112 is about 47342.6880521163. The cubic root of 2241330112 is about 1308.6854540547.

Adding to 2241330112 its reverse (2110331422), we get a palindrome (4351661534).

It can be divided in two parts, 22413 and 30112, that added together give a palindrome (52525).

The spelling of 2241330112 in words is "two billion, two hundred forty-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 3104 5432 6208 10864 21728 43456 51577 103154 206308 361039 412616 722078 825232 1444156 1650464 2888312 3300928 5002969 5776624 10005938 11553248 20011876 23106496 35020783 40023752 70041566 80047504 140083132 160095008 280166264 320190016 560332528 1120665056 2241330112