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144225240 = 23358531409
BaseRepresentation
bin10001001100010…
…11001111011000
3101001101101211120
420212023033120
5243410201430
622151125240
73400615515
oct1046131730
9331341746
10144225240
1174458615
1240373820
1323b595a3
141522430c
15c9dd610
hex898b3d8

144225240 has 64 divisors (see below), whose sum is σ = 433490400. Its totient is φ = 38387712.

The previous prime is 144225239. The next prime is 144225269. The reversal of 144225240 is 42522441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144225240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 101656 + ... + 103064.

Almost surely, 2144225240 is an apocalyptic number.

144225240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144225240 is an abundant number, since it is smaller than the sum of its proper divisors (289265160).

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

144225240 is a wasteful number, since it uses less digits than its factorization.

144225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144225240 is about 12009.3813329413. The cubic root of 144225240 is about 524.4214215664.

Adding to 144225240 its reverse (42522441), we get a palindrome (186747681).

The spelling of 144225240 in words is "one hundred forty-four million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 853 1409 1706 2559 2818 3412 4227 4265 5118 5636 6824 7045 8454 8530 10236 11272 12795 14090 16908 17060 20472 21135 25590 28180 33816 34120 42270 51180 56360 84540 102360 169080 1201877 2403754 3605631 4807508 6009385 7211262 9615016 12018770 14422524 18028155 24037540 28845048 36056310 48075080 72112620 144225240