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2154254112 = 2532531071319
BaseRepresentation
bin1000000001100111…
…0100111100100000
312120010121110002100
42000121310330200
513402442112422
6553433050400
7104245600143
oct20031647440
95503543070
102154254112
11a06024aaa
12501556a00
1328440569a
1416617005a
15c91d27ac
hex80674f20

2154254112 has 144 divisors (see below), whose sum is σ = 6304858560. Its totient is φ = 697422336.

The previous prime is 2154254111. The next prime is 2154254131. The reversal of 2154254112 is 2114524512.

It is a happy number.

2154254112 is a `hidden beast` number, since 2 + 1 + 542 + 5 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2154254111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632589 + ... + 1633907.

It is an arithmetic number, because the mean of its divisors is an integer number (43783740).

Almost surely, 22154254112 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 2154254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152429280).

2154254112 is an abundant number, since it is smaller than the sum of its proper divisors (4150604448).

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

2154254112 is a wasteful number, since it uses less digits than its factorization.

2154254112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1484 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2154254112 is about 46413.9430774848. The cubic root of 2154254112 is about 1291.5135794446.

Adding to 2154254112 its reverse (2114524512), we get a palindrome (4268778624).

The spelling of 2154254112 in words is "two billion, one hundred fifty-four million, two hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 107 144 159 212 214 288 318 321 424 428 477 636 642 848 856 954 963 1272 1284 1319 1696 1712 1908 1926 2544 2568 2638 3424 3816 3852 3957 5088 5136 5276 5671 7632 7704 7914 10272 10552 11342 11871 15264 15408 15828 17013 21104 22684 23742 30816 31656 34026 42208 45368 47484 51039 63312 68052 69907 90736 94968 102078 126624 136104 139814 141133 181472 189936 204156 209721 272208 279628 282266 379872 408312 419442 423399 544416 559256 564532 629163 816624 838884 846798 1118512 1129064 1258326 1270197 1633248 1677768 1693596 2237024 2258128 2516652 2540394 3355536 3387192 4516256 5033304 5080788 6711072 6774384 7480049 10066608 10161576 13548768 14960098 20133216 20323152 22440147 29920196 40646304 44880294 59840392 67320441 89760588 119680784 134640882 179521176 239361568 269281764 359042352 538563528 718084704 1077127056 2154254112