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2154234456 = 2332118332771
BaseRepresentation
bin1000000001100111…
…0000001001011000
312120010120110010100
42000121300021120
513402441000311
6553432415400
7104245455633
oct20031601130
95503513110
102154234456
11a06011260
12501547560
132843c975a
14166166c1a
15c91cba56
hex80670258

2154234456 has 96 divisors (see below), whose sum is σ = 6441664320. Its totient is φ = 644913600.

The previous prime is 2154234377. The next prime is 2154234479. The reversal of 2154234456 is 6544324512.

2154234456 is a `hidden beast` number, since 21 + 542 + 3 + 44 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2154234456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49351 + ... + 82121.

It is an arithmetic number, because the mean of its divisors is an integer number (67100670).

Almost surely, 22154234456 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 2154234456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220832160).

2154234456 is an abundant number, since it is smaller than the sum of its proper divisors (4287429864).

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

2154234456 is a wasteful number, since it uses less digits than its factorization.

2154234456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877 (or 32870 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2154234456 is about 46413.7313302863. The cubic root of 2154234456 is about 1291.5096513924.

Adding to 2154234456 its reverse (6544324512), we get a palindrome (8698558968).

The spelling of 2154234456 in words is "two billion, one hundred fifty-four million, two hundred thirty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 7304 8217 10956 16434 21912 32771 32868 65542 65736 98313 131084 196626 262168 294939 360481 393252 589878 720962 786504 1081443 1179756 1441924 2162886 2359512 2719993 2883848 3244329 4325772 5439986 6488658 8159979 8651544 10879972 12977316 16319958 21759944 24479937 25954632 29919923 32639916 48959874 59839846 65279832 89759769 97919748 119679692 179519538 195839496 239359384 269279307 359039076 538558614 718078152 1077117228 2154234456