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144276220 = 225111036367
BaseRepresentation
bin10001001100101…
…11101011111100
3101001110222202201
420212113223330
5243413314340
622152201244
73401220244
oct1046275374
9331428681
10144276220
1174492950
1240399224
1323b7685a
1415238b24
15c9ed79a
hex8997afc

144276220 has 48 divisors (see below), whose sum is σ = 333785088. Its totient is φ = 51946560.

The previous prime is 144276193. The next prime is 144276227. The reversal of 144276220 is 22672441.

It is a happy number.

144276220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144276227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19477 + ... + 25843.

It is an arithmetic number, because the mean of its divisors is an integer number (6953856).

Almost surely, 2144276220 is an apocalyptic number.

144276220 is a gapful number since it is divisible by the number (10) 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 144276220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166892544).

144276220 is an abundant number, since it is smaller than the sum of its proper divisors (189508868).

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

144276220 is a wasteful number, since it uses less digits than its factorization.

144276220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 144276220 is about 12011.5036527489. The cubic root of 144276220 is about 524.4832042212.

The spelling of 144276220 in words is "one hundred forty-four million, two hundred seventy-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 6367 11330 12734 22660 25468 31835 63670 70037 127340 140074 280148 350185 655801 700370 1311602 1400740 2623204 3279005 6558010 7213811 13116020 14427622 28855244 36069055 72138110 144276220