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2143204224 = 27371037741
BaseRepresentation
bin111111110111110…
…1011001110000000
312112100211001111020
41333233223032000
513342130013344
6552400145440
7104052635550
oct17757531600
95470731436
102143204224
119aa868067
124b9908280
13282036ca5
141648d5160
15c824d719
hex7fbeb380

2143204224 has 128 divisors (see below), whose sum is σ = 6570170880. Its totient is φ = 606320640.

The previous prime is 2143204201. The next prime is 2143204289. The reversal of 2143204224 is 4224023412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2143204194 and 2143204203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272994 + ... + 280734.

It is an arithmetic number, because the mean of its divisors is an integer number (51329460).

Almost surely, 22143204224 is an apocalyptic number.

2143204224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285085440).

2143204224 is an abundant number, since it is smaller than the sum of its proper divisors (4426966656).

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

2143204224 is a wasteful number, since it uses less digits than its factorization.

2143204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2143204224 is about 46294.7537416498. The cubic root of 2143204224 is about 1289.3015917824.

Adding to 2143204224 its reverse (4224023412), we get a palindrome (6367227636).

The spelling of 2143204224 in words is "two billion, one hundred forty-three million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 309 336 384 412 448 618 672 721 824 896 1236 1344 1442 1648 2163 2472 2688 2884 3296 4326 4944 5768 6592 7741 8652 9888 11536 13184 15482 17304 19776 23072 23223 30964 34608 39552 46144 46446 54187 61928 69216 92288 92892 108374 123856 138432 162561 185784 216748 247712 276864 325122 371568 433496 495424 650244 743136 797323 866992 990848 1300488 1486272 1594646 1733984 2391969 2600976 2972544 3189292 3467968 4783938 5201952 5581261 6378584 6935936 9567876 10403904 11162522 12757168 16743783 19135752 20807808 22325044 25514336 33487566 38271504 44650088 51028672 66975132 76543008 89300176 102057344 133950264 153086016 178600352 267900528 306172032 357200704 535801056 714401408 1071602112 2143204224