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2243103324 = 22371121991109
BaseRepresentation
bin1000010110110011…
…0000101001011100
312210022210110021220
42011230300221130
514043213301244
61010325253340
7106405030560
oct20554605134
95708713256
102243103324
11a5119a800
12527264250
13299943897
14173c9b6a0
15d1dd3319
hex85b30a5c

2243103324 has 144 divisors (see below), whose sum is σ = 6613824000. Its totient is φ = 579173760.

The previous prime is 2243103323. The next prime is 2243103371. The reversal of 2243103324 is 4233013422.

It is a junction number, because it is equal to n+sod(n) for n = 2243103294 and 2243103303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243103323) 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, 2022082 + ... + 2023190.

Almost surely, 22243103324 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 2243103324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306912000).

2243103324 is an abundant number, since it is smaller than the sum of its proper divisors (4370720676).

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

2243103324 is a wasteful number, since it uses less digits than its factorization.

2243103324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2243103324 is about 47361.4117610529. The cubic root of 2243103324 is about 1309.0304820715.

Adding to 2243103324 its reverse (4233013422), we get a palindrome (6476116746).

The spelling of 2243103324 in words is "two billion, two hundred forty-three million, one hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 199 231 242 308 363 398 462 484 597 726 796 847 924 1109 1194 1393 1452 1694 2189 2218 2388 2541 2786 3327 3388 4179 4378 4436 5082 5572 6567 6654 7763 8358 8756 10164 12199 13134 13308 15323 15526 16716 23289 24079 24398 26268 30646 31052 36597 45969 46578 48158 48796 61292 72237 73194 85393 91938 93156 96316 134189 144474 146388 168553 170786 183876 220691 256179 268378 288948 337106 341572 402567 441382 505659 512358 536756 662073 674212 805134 882764 939323 1011318 1024716 1324146 1544837 1610268 1878646 2022636 2427601 2648292 2817969 3089674 3757292 4634511 4855202 5635938 6179348 7282803 9269022 9710404 11271876 14565606 16993207 18538044 26703611 29131212 33986414 50979621 53407222 67972828 80110833 101959242 106814444 160221666 186925277 203918484 320443332 373850554 560775831 747701108 1121551662 2243103324