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144232420 = 225171983269
BaseRepresentation
bin10001001100011…
…00111111100100
3101001101202200111
420212030333210
5243410414140
622151222404
73400645453
oct1046147744
9331352614
10144232420
1174462a52
1240377a04
1323b5c937
1415226b9a
15c9e07ea
hex898cfe4

144232420 has 96 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 50632704.

The previous prime is 144232411. The next prime is 144232427. The reversal of 144232420 is 24232441.

It is a happy number.

144232420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144232391 and 144232400.

It is not an unprimeable number, because it can be changed into a prime (144232427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536046 + ... + 536314.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2144232420 is an apocalyptic number.

144232420 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 144232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

144232420 is an abundant number, since it is smaller than the sum of its proper divisors (198689180).

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

144232420 is a wasteful number, since it uses less digits than its factorization.

144232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144232420 is about 12009.6802621885. The cubic root of 144232420 is about 524.4301238881.

Adding to 144232420 its reverse (24232441), we get a palindrome (168464861).

The spelling of 144232420 in words is "one hundred forty-four million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 83 85 95 166 170 190 269 323 332 340 380 415 538 646 830 1076 1292 1345 1411 1577 1615 1660 2690 2822 3154 3230 4573 5111 5380 5644 6308 6460 7055 7885 9146 10222 14110 15770 18292 20444 22327 22865 25555 26809 28220 31540 44654 45730 51110 53618 86887 89308 91460 102220 107236 111635 134045 173774 223270 268090 347548 379559 424213 434435 446540 536180 759118 848426 868870 1518236 1696852 1737740 1897795 2121065 3795590 4242130 7211621 7591180 8484260 14423242 28846484 36058105 72116210 144232420