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144404224 = 282953367
BaseRepresentation
bin10001001101101…
…10111100000000
3101001201111100121
420212312330000
5243431413344
622155030024
73402262366
oct1046667400
9331644317
10144404224
1174570038
124043b314
1323bbcbb3
141526d636
15ca26684
hex89b6f00

144404224 has 72 divisors (see below), whose sum is σ = 304637760. Its totient is φ = 68210688.

The previous prime is 144404219. The next prime is 144404233. The reversal of 144404224 is 422404441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393289 + ... + 393655.

It is an arithmetic number, because the mean of its divisors is an integer number (4231080).

Almost surely, 2144404224 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 144404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152318880).

144404224 is an abundant number, since it is smaller than the sum of its proper divisors (160233536).

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

144404224 is an equidigital number, since it uses as much as digits as its factorization.

144404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 144404224 is about 12016.8308634182. The cubic root of 144404224 is about 524.6382681284.

Adding to 144404224 its reverse (422404441), we get a palindrome (566808665).

The spelling of 144404224 in words is "one hundred forty-four million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 256 367 424 464 734 848 928 1468 1537 1696 1856 2936 3074 3392 3712 5872 6148 6784 7424 10643 11744 12296 13568 19451 21286 23488 24592 38902 42572 46976 49184 77804 85144 93952 98368 155608 170288 196736 311216 340576 393472 564079 622432 681152 1128158 1244864 1362304 2256316 2489728 2724608 4512632 4979456 9025264 18050528 36101056 72202112 144404224