Search a number
-
+
54224300 = 22521353787
BaseRepresentation
bin1100111011011…
…0010110101100
310210000212202102
43032312112230
5102340134200
65214114232
71225620224
oct316662654
9123025672
1054224300
1128676579
12161ab978
13b3070b0
1472b7084
154b616d5
hex33b65ac

54224300 has 72 divisors (see below), whose sum is σ = 129272976. Its totient is φ = 19618560.

The previous prime is 54224299. The next prime is 54224369. The reversal of 54224300 is 342245.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 68507 + ... + 69293.

It is an arithmetic number, because the mean of its divisors is an integer number (1795458).

Almost surely, 254224300 is an apocalyptic number.

54224300 is a gapful number since it is divisible by the number (50) 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 54224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64636488).

54224300 is an abundant number, since it is smaller than the sum of its proper divisors (75048676).

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

54224300 is a wasteful number, since it uses less digits than its factorization.

54224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 54224300 is about 7363.7150949775. The cubic root of 54224300 is about 378.4989259178.

Adding to 54224300 its reverse (342245), we get a palindrome (54566545).

It can be divided in two parts, 542 and 24300, that added together give a palindrome (24842).

The spelling of 54224300 in words is "fifty-four million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 787 1060 1300 1325 1378 1574 2650 2756 3148 3445 3935 5300 6890 7870 10231 13780 15740 17225 19675 20462 34450 39350 40924 41711 51155 68900 78700 83422 102310 166844 204620 208555 255775 417110 511550 542243 834220 1023100 1042775 1084486 2085550 2168972 2711215 4171100 5422430 10844860 13556075 27112150 54224300