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144230144 = 283715227
BaseRepresentation
bin10001001100011…
…00011100000000
3101001101122120012
420212030130000
5243410331034
622151204052
73400636022
oct1046143400
9331348505
10144230144
1174461273
1240376628
1323b5b8a6
1415226012
15c9decce
hex898c700

144230144 has 36 divisors (see below), whose sum is σ = 295697304. Its totient is φ = 70161408.

The previous prime is 144230131. The next prime is 144230209. The reversal of 144230144 is 441032441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1859 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (8213814).

Almost surely, 2144230144 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 144230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147848652).

144230144 is an abundant number, since it is smaller than the sum of its proper divisors (151467160).

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

144230144 is an equidigital number, since it uses as much as digits as its factorization.

144230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 144230144 is about 12009.5855049206. The cubic root of 144230144 is about 524.4273653561.

Adding to 144230144 its reverse (441032441), we get a palindrome (585262585).

The spelling of 144230144 in words is "one hundred forty-four million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 15227 30454 60908 121816 243632 487264 563399 974528 1126798 1949056 2253596 3898112 4507192 9014384 18028768 36057536 72115072 144230144