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2242443006 = 2322310153629
BaseRepresentation
bin1000010110101000…
…1111011011111110
312210021112220111200
42011222033123332
514043031134011
61010303200330
7106366310466
oct20552173376
95707486450
102242443006
11a50889691
12526ba60a6
1329977216b
14173b68ba6
15d1d02856
hex85a8f6fe

2242443006 has 48 divisors (see below), whose sum is σ = 5120163360. Its totient is φ = 707889600.

The previous prime is 2242442999. The next prime is 2242443011. The reversal of 2242443006 is 6003442422.

2242443006 is a `hidden beast` number, since 224 + 2 + 4 + 430 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15000 + ... + 68628.

It is an arithmetic number, because the mean of its divisors is an integer number (106670070).

Almost surely, 22242443006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242443006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560081680).

2242443006 is an abundant number, since it is smaller than the sum of its proper divisors (2877720354).

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

2242443006 is a wasteful number, since it uses less digits than its factorization.

2242443006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53761 (or 53758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2242443006 is about 47354.4401930801. The cubic root of 2242443006 is about 1308.9020199818.

Adding to 2242443006 its reverse (6003442422), we get a palindrome (8245885428).

The spelling of 2242443006 in words is "two billion, two hundred forty-two million, four hundred forty-three thousand, six".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 4646 6969 13938 20907 41814 53629 107258 160887 321774 482661 965322 1233467 2466934 3700401 5416529 7400802 10833058 11101203 16249587 22202406 32499174 48748761 97497522 124580167 249160334 373740501 747481002 1121221503 2242443006