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2229384828 = 22311217372441
BaseRepresentation
bin1000010011100001…
…1011011001111100
312202100222111001110
42010320123121330
514031210303303
61005115242020
7106150313136
oct20470333174
95670874043
102229384828
11a4447a900
12522749310
13296b4c628
1417212a056
15d0ac3703
hex84e1b67c

2229384828 has 144 divisors (see below), whose sum is σ = 6220301472. Its totient is φ = 618393600.

The previous prime is 2229384827. The next prime is 2229384841. The reversal of 2229384828 is 8284839222.

2229384828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22293848282 = 9940313422633179168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229384823) 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, 912088 + ... + 914528.

It is an arithmetic number, because the mean of its divisors is an integer number (43196538).

Almost surely, 22229384828 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 2229384828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110150736).

2229384828 is an abundant number, since it is smaller than the sum of its proper divisors (3990916644).

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

2229384828 is a wasteful number, since it uses less digits than its factorization.

2229384828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2511 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 2229384828 is about 47216.3618674713. The cubic root of 2229384828 is about 1306.3564094293.

The spelling of 2229384828 in words is "two billion, two hundred twenty-nine million, three hundred eighty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 121 132 148 187 204 222 242 363 374 407 444 484 561 629 726 748 814 1122 1221 1258 1452 1628 1887 2057 2244 2441 2442 2516 3774 4114 4477 4882 4884 6171 6919 7323 7548 8228 8954 9764 12342 13431 13838 14646 17908 20757 24684 26851 26862 27676 29292 41497 41514 53702 53724 76109 80553 82994 83028 90317 107404 124491 152218 161106 165988 180634 228327 248982 270951 295361 304436 322212 361268 456467 456654 497964 541902 590722 886083 912934 913308 993487 1083804 1181444 1369401 1535389 1772166 1825868 1986974 2738802 2980461 3070778 3544332 3973948 4606167 5021137 5477604 5960922 6141556 9212334 10042274 10928357 11921844 15063411 16889279 18424668 20084548 21856714 30126822 32785071 33778558 43713428 50667837 60253644 65570142 67557116 101335674 131140284 185782069 202671348 371564138 557346207 743128276 1114692414 2229384828