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144220050 = 232521389277
BaseRepresentation
bin10001001100010…
…01111110010010
3101001101010201100
420212021332102
5243410020200
622151045230
73400564422
oct1046117622
9331333640
10144220050
1174454727
1240370816
1323b57110
1415222482
15c9dbd00
hex8989f92

144220050 has 144 divisors (see below), whose sum is σ = 423488520. Its totient is φ = 34974720.

The previous prime is 144220039. The next prime is 144220081. The reversal of 144220050 is 50022441.

It can be written as a sum of positive squares in 12 ways, for example, as 11716929 + 132503121 = 3423^2 + 11511^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 520512 + ... + 520788.

Almost surely, 2144220050 is an apocalyptic number.

144220050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144220050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211744260).

144220050 is an abundant number, since it is smaller than the sum of its proper divisors (279268470).

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

144220050 is a wasteful number, since it uses less digits than its factorization.

144220050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 144220050 is about 12009.1652499247. The cubic root of 144220050 is about 524.4151309896.

Adding to 144220050 its reverse (50022441), we get a palindrome (194242491).

The spelling of 144220050 in words is "one hundred forty-four million, two hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 89 90 117 130 150 178 195 225 234 267 277 325 390 445 450 534 554 585 650 801 831 890 975 1157 1170 1335 1385 1602 1662 1950 2225 2314 2493 2670 2770 2925 3471 3601 4005 4155 4450 4986 5785 5850 6675 6925 6942 7202 8010 8310 10413 10803 11570 12465 13350 13850 17355 18005 20025 20775 20826 21606 24653 24930 28925 32409 34710 36010 40050 41550 49306 52065 54015 57850 62325 64818 73959 86775 90025 104130 108030 123265 124650 147918 162045 173550 180050 221877 246530 260325 270075 320489 324090 369795 443754 520650 540150 616325 640978 739590 810225 961467 1109385 1232650 1602445 1620450 1848975 1922934 2218770 2884401 3204890 3697950 4807335 5546925 5768802 8012225 9614670 11093850 14422005 16024450 24036675 28844010 48073350 72110025 144220050