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54452222500 = 22541323592
BaseRepresentation
bin110010101101100110…
…101111101000100100
312012112212110111201111
4302231212233220210
51343004232110000
641003124034404
73635243153164
oct625546575044
9165485414644
1054452222500
1121102950785
12a677b32a04
13519a288900
1428c7b605a4
15163a696cba
hexcad9afa24

54452222500 has 135 divisors (see below), whose sum is σ = 129300580101. Its totient is φ = 20049432000.

The previous prime is 54452222483. The next prime is 54452222509. The reversal of 54452222500 is 522225445.

The square root of 54452222500 is 233350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 53784103396 + 668119104 = 231914^2 + 25848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54452222509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 151677321 + ... + 151677679.

Almost surely, 254452222500 is an apocalyptic number.

54452222500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54452222500 is the 233350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54452222500

54452222500 is an abundant number, since it is smaller than the sum of its proper divisors (74848357601).

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

54452222500 is an equidigital number, since it uses as much as digits as its factorization.

54452222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 31.

Adding to 54452222500 its reverse (522225445), we get a palindrome (54974447945).

The spelling of 54452222500 in words is "fifty-four billion, four hundred fifty-two million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 359 500 625 650 676 718 845 1250 1300 1436 1625 1690 1795 2500 3250 3380 3590 4225 4667 6500 7180 8125 8450 8975 9334 16250 16900 17950 18668 21125 23335 32500 35900 42250 44875 46670 60671 84500 89750 93340 105625 116675 121342 128881 179500 211250 224375 233350 242684 257762 303355 422500 448750 466700 515524 583375 606710 644405 897500 1166750 1213420 1288810 1516775 1675453 2333500 2577620 2916875 3033550 3222025 3350906 5833750 6067100 6444050 6701812 7583875 8377265 11667500 12888100 15167750 16110125 16754530 21780889 30335500 32220250 33509060 37919375 41886325 43561778 64440500 75838750 80550625 83772650 87123556 108904445 151677500 161101250 167545300 209431625 217808890 322202500 418863250 435617780 544522225 837726500 1047158125 1089044450 2094316250 2178088900 2722611125 4188632500 5445222250 10890444500 13613055625 27226111250 54452222500