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2224141032 = 23323113181197
BaseRepresentation
bin1000010010010001…
…1011001011101000
312202000010001220210
42010210123023220
514023340003112
61004411021120
7106054613121
oct20444331350
95660101823
102224141032
11a41519093
12520a3a7a0
13295a348a9
14171563048
15d03d9b3c
hex8491b2e8

2224141032 has 128 divisors (see below), whose sum is σ = 5915669760. Its totient is φ = 695439360.

The previous prime is 2224141021. The next prime is 2224141037. The reversal of 2224141032 is 2301414222.

It is not an unprimeable number, because it can be changed into a prime (2224141037) 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, 11289958 + ... + 11290154.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 22224141032 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 2224141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2224141032 is an abundant number, since it is smaller than the sum of its proper divisors (3691528728).

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

2224141032 is a wasteful number, since it uses less digits than its factorization.

2224141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2224141032 is about 47160.7997387661. The cubic root of 2224141032 is about 1305.3313666528.

Adding to 2224141032 its reverse (2301414222), we get a palindrome (4525555254).

It can be divided in two parts, 222414 and 1032, that added together give a triangular number (223446 = T668).

The spelling of 2224141032 in words is "two billion, two hundred twenty-four million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 181 184 197 226 276 339 362 394 452 543 552 591 678 724 788 904 1086 1182 1356 1448 1576 2172 2364 2599 2712 4163 4344 4531 4728 5198 7797 8326 9062 10396 12489 13593 15594 16652 18124 20453 20792 22261 24978 27186 31188 33304 35657 36248 40906 44522 49956 54372 61359 62376 66783 71314 81812 89044 99912 106971 108744 122718 133566 142628 163624 178088 213942 245436 267132 285256 427884 470419 490872 512003 534264 820111 855768 940838 1024006 1411257 1536009 1640222 1881676 2048012 2460333 2822514 3072018 3280444 3763352 4029241 4096024 4920666 5645028 6144036 6560888 8058482 9841332 11290056 12087723 12288072 16116964 19682664 24175446 32233928 48350892 92672543 96701784 185345086 278017629 370690172 556035258 741380344 1112070516 2224141032