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54112224 = 2531771467
BaseRepresentation
bin1100111001101…
…0111111100000
310202211012000110
43032122333200
5102323042344
65211451320
71224642405
oct316327740
9122735013
1054112224
11285aa351
1216156b40
13b29808a
1472882ac
154b3d3b9
hex339afe0

54112224 has 96 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 16701440.

The previous prime is 54112213. The next prime is 54112249. The reversal of 54112224 is 42221145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×541122243 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54112224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115639 + ... + 116105.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 254112224 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 54112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

54112224 is an abundant number, since it is smaller than the sum of its proper divisors (98732832).

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

54112224 is a wasteful number, since it uses less digits than its factorization.

54112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 54112224 is about 7356.1011412296. The cubic root of 54112224 is about 378.2379733831.

Adding to 54112224 its reverse (42221145), we get a palindrome (96333369).

The spelling of 54112224 in words is "fifty-four million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 71 96 102 136 142 204 213 272 284 408 426 467 544 568 816 852 934 1136 1207 1401 1632 1704 1868 2272 2414 2802 3408 3621 3736 4828 5604 6816 7242 7472 7939 9656 11208 14484 14944 15878 19312 22416 23817 28968 31756 33157 38624 44832 47634 57936 63512 66314 95268 99471 115872 127024 132628 190536 198942 254048 265256 381072 397884 530512 563669 762144 795768 1061024 1127338 1591536 1691007 2254676 3183072 3382014 4509352 6764028 9018704 13528056 18037408 27056112 54112224