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2244221442 = 23217191392777
BaseRepresentation
bin1000010111000100…
…0001101000000010
312210101220021001200
42011301001220002
514044010041232
61010405242030
7106420365441
oct20561015002
95711807050
102244221442
11a51893871
12527703316
13299c457a8
141740acd58
15d205477c
hex85c41a02

2244221442 has 96 divisors (see below), whose sum is σ = 5460436800. Its totient is φ = 661976064.

The previous prime is 2244221431. The next prime is 2244221443. The reversal of 2244221442 is 2441224422.

2244221442 is a `hidden beast` number, since 2 + 2 + 442 + 214 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2244221443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806758 + ... + 809534.

It is an arithmetic number, because the mean of its divisors is an integer number (56879550).

Almost surely, 22244221442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244221442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730218400).

2244221442 is an abundant number, since it is smaller than the sum of its proper divisors (3216215358).

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

2244221442 is a wasteful number, since it uses less digits than its factorization.

2244221442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2957 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2244221442 is about 47373.2143937901. The cubic root of 2244221442 is about 1309.2479497499.

Adding to 2244221442 its reverse (2441224422), we get a palindrome (4685445864).

The spelling of 2244221442 in words is "two billion, two hundred forty-four million, two hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 139 153 171 278 306 323 342 417 646 834 969 1251 1938 2363 2502 2641 2777 2907 4726 5282 5554 5814 7089 7923 8331 14178 15846 16662 21267 23769 24993 42534 44897 47209 47538 49986 52763 89794 94418 105526 134691 141627 158289 269382 283254 316578 386003 404073 424881 474867 772006 808146 849762 896971 949734 1158009 1793942 2316018 2690913 3474027 5381826 6562051 6948054 7334057 8072739 13124102 14668114 16145478 19686153 22002171 39372306 44004342 59058459 66006513 118116918 124678969 132013026 249357938 374036907 748073814 1122110721 2244221442