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2224042212 = 223741733881
BaseRepresentation
bin1000010010010000…
…0011000011100100
312201222221001100210
42010210003003210
514023323322322
61004404535420
7106054022040
oct20444030344
95658831323
102224042212
11a41460917
125209b1570
132959cb912
14171539020
15d03ba70c
hex849030e4

2224042212 has 96 divisors (see below), whose sum is σ = 6090626304. Its totient is φ = 618393600.

The previous prime is 2224042211. The next prime is 2224042217. The reversal of 2224042212 is 2122404222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2224042211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2524012 + ... + 2524892.

It is an arithmetic number, because the mean of its divisors is an integer number (63444024).

Almost surely, 22224042212 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 2224042212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045313152).

2224042212 is an abundant number, since it is smaller than the sum of its proper divisors (3866584092).

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

2224042212 is a wasteful number, since it uses less digits than its factorization.

2224042212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2224042212 is about 47159.7520349715. The cubic root of 2224042212 is about 1305.3120341323.

Adding to 2224042212 its reverse (2122404222), we get a palindrome (4346446434).

The spelling of 2224042212 in words is "two billion, two hundred twenty-four million, forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 733 861 881 1148 1466 1722 1762 2199 2643 2932 3444 3524 4398 5131 5286 6167 8796 10262 10572 12334 15393 18501 20524 24668 30053 30786 36121 37002 60106 61572 72242 74004 90159 108363 120212 144484 180318 210371 216726 252847 360636 420742 433452 505694 631113 645773 758541 841484 1011388 1262226 1291546 1517082 1937319 2524452 2583092 3034164 3874638 4520411 7749276 9040822 13561233 18081644 26476693 27122466 52953386 54244932 79430079 105906772 158860158 185336851 317720316 370673702 556010553 741347404 1112021106 2224042212