Search a number
-
+
54222112 = 2571729491
BaseRepresentation
bin1100111011010…
…1110100100000
310210000202202101
43032311310200
5102340101422
65214100144
71225610650
oct316656440
9123022671
1054222112
112867496a
12161aa654
13b3060b9
1472b6360
154b60c27
hex33b5d20

54222112 has 96 divisors (see below), whose sum is σ = 133902720. Its totient is φ = 21073920.

The previous prime is 54222089. The next prime is 54222139. The reversal of 54222112 is 21122245.

54222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54222112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110187 + ... + 110677.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 254222112 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 54222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66951360).

54222112 is an abundant number, since it is smaller than the sum of its proper divisors (79680608).

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

54222112 is a wasteful number, since it uses less digits than its factorization.

54222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 54222112 is about 7363.5665271660. The cubic root of 54222112 is about 378.4938349236.

Adding to 54222112 its reverse (21122245), we get a palindrome (75344357).

The spelling of 54222112 in words is "fifty-four million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 112 116 119 136 203 224 232 238 272 406 464 476 491 493 544 812 928 952 982 986 1624 1904 1964 1972 3248 3437 3451 3808 3928 3944 6496 6874 6902 7856 7888 8347 13748 13804 14239 15712 15776 16694 27496 27608 28478 33388 54992 55216 56956 58429 66776 99673 109984 110432 113912 116858 133552 199346 227824 233716 242063 267104 398692 455648 467432 484126 797384 934864 968252 1594768 1694441 1869728 1936504 3189536 3388882 3873008 6777764 7746016 13555528 27111056 54222112