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2224204242 = 2313291576263
BaseRepresentation
bin1000010010010010…
…1010100111010010
312202000020021121220
42010210222213102
514023344013432
61004412225510
7106055265321
oct20444524722
95660207556
102224204242
11a41561627
12520a6b296
13295a575b0
1417157c0b8
15d03ed72c
hex8492a9d2

2224204242 has 64 divisors (see below), whose sum is σ = 4988148480. Its totient is φ = 656457984.

The previous prime is 2224204237. The next prime is 2224204247. The reversal of 2224204242 is 2424024222.

It is an interprime number because it is at equal distance from previous prime (2224204237) and next prime (2224204247).

It is not an unprimeable number, because it can be changed into a prime (2224204247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352003 + ... + 358265.

It is an arithmetic number, because the mean of its divisors is an integer number (77939820).

Almost surely, 22224204242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224204242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494074240).

2224204242 is an abundant number, since it is smaller than the sum of its proper divisors (2763944238).

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

2224204242 is a wasteful number, since it uses less digits than its factorization.

2224204242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2224204242 is about 47161.4698880347. The cubic root of 2224204242 is about 1305.3437323575.

Adding to 2224204242 its reverse (2424024222), we get a palindrome (4648228464).

The spelling of 2224204242 in words is "two billion, two hundred twenty-four million, two hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 157 174 314 377 471 754 942 1131 2041 2262 4082 4553 6123 6263 9106 12246 12526 13659 18789 27318 37578 59189 81419 118378 162838 177567 181627 244257 355134 363254 488514 544881 983291 1089762 1966582 2361151 2949873 4722302 5899746 7083453 12782783 14166906 25565566 28515439 38348349 57030878 76696698 85546317 171092634 370700707 741401414 1112102121 2224204242