Search a number
-
+
2444402226 = 237477316963
BaseRepresentation
bin1001000110110010…
…1001111000110010
320022100120111110210
42101230221320302
520001231332401
61042320004550
7114401035050
oct22154517062
96270514423
102444402226
11104488a632
12582760756
132cc564166
141928db1d0
15e48e74d6
hex91b29e32

2444402226 has 64 divisors (see below), whose sum is σ = 5784588288. Its totient is φ = 674137728.

The previous prime is 2444402159. The next prime is 2444402243. The reversal of 2444402226 is 6222044442.

It is a junction number, because it is equal to n+sod(n) for n = 2444402193 and 2444402202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135621 + ... + 152583.

It is an arithmetic number, because the mean of its divisors is an integer number (90384192).

Almost surely, 22444402226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444402226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892294144).

2444402226 is an abundant number, since it is smaller than the sum of its proper divisors (3340186062).

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

2444402226 is a wasteful number, since it uses less digits than its factorization.

2444402226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17095.

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 2444402226 is about 49440.8962904193. The cubic root of 2444402226 is about 1347.0722516082.

Adding to 2444402226 its reverse (6222044442), we get a palindrome (8666446668).

The spelling of 2444402226 in words is "two billion, four hundred forty-four million, four hundred two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 47 73 94 141 146 219 282 329 438 511 658 987 1022 1533 1974 3066 3431 6862 10293 16963 20586 24017 33926 48034 50889 72051 101778 118741 144102 237482 356223 712446 797261 1238299 1594522 2391783 2476598 3714897 4783566 5580827 7429794 8668093 11161654 16742481 17336186 26004279 33484962 52008558 58200053 116400106 174600159 349200318 407400371 814800742 1222201113 2444402226