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2243213532 = 2232727916097
BaseRepresentation
bin1000010110110100…
…1011100011011100
312210100000001110200
42011231023203130
514043230313112
61010331503500
7106406000100
oct20555134334
95710001420
102243213532
11a5126558a
125272b7b90
13299981ab1
14173cc9900
15d1e05cdc
hex85b4b8dc

2243213532 has 108 divisors (see below), whose sum is σ = 6680026080. Its totient is φ = 632765952.

The previous prime is 2243213521. The next prime is 2243213543. The reversal of 2243213532 is 2353123422.

2243213532 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 an interprime number because it is at equal distance from previous prime (2243213521) and next prime (2243213543).

It is a junction number, because it is equal to n+sod(n) for n = 2243213496 and 2243213505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131308 + ... + 147404.

Almost surely, 22243213532 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 2243213532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340013040).

2243213532 is an abundant number, since it is smaller than the sum of its proper divisors (4436812548).

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

2243213532 is a wasteful number, since it uses less digits than its factorization.

2243213532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16200 (or 16188 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2243213532 is about 47362.5752255935. The cubic root of 2243213532 is about 1309.0519201193.

Adding to 2243213532 its reverse (2353123422), we get a palindrome (4596336954).

The spelling of 2243213532 in words is "two billion, two hundred forty-three million, two hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 79 84 98 126 147 158 196 237 252 294 316 441 474 553 588 711 882 948 1106 1422 1659 1764 2212 2844 3318 3871 4977 6636 7742 9954 11613 15484 16097 19908 23226 32194 34839 46452 48291 64388 69678 96582 112679 139356 144873 193164 225358 289746 338037 450716 579492 676074 788753 1014111 1271663 1352148 1577506 2028222 2366259 2543326 3155012 3814989 4056444 4732518 5086652 7098777 7629978 8901641 9465036 11444967 14197554 15259956 17803282 22889934 26704923 28395108 35606564 45779868 53409846 62311487 80114769 106819692 124622974 160229538 186934461 249245948 320459076 373868922 560803383 747737844 1121606766 2243213532