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144222688 = 2543281373
BaseRepresentation
bin10001001100010…
…10100111100000
3101001101021100001
420212022213200
5243410111223
622151105344
73400605211
oct1046124740
9331337301
10144222688
1174456705
1240372254
1323b5838c
1415223408
15c9dc9ad
hex898a9e0

144222688 has 48 divisors (see below), whose sum is σ = 292357296. Its totient is φ = 69995520.

The previous prime is 144222671. The next prime is 144222697. The reversal of 144222688 is 886222441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386470 + ... + 386842.

It is an arithmetic number, because the mean of its divisors is an integer number (6090777).

Almost surely, 2144222688 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 144222688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146178648).

144222688 is an abundant number, since it is smaller than the sum of its proper divisors (148134608).

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

144222688 is a wasteful number, since it uses less digits than its factorization.

144222688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 699 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 144222688 is about 12009.2750822021. The cubic root of 144222688 is about 524.4183284153.

The spelling of 144222688 in words is "one hundred forty-four million, two hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 43 86 172 281 344 373 562 688 746 1124 1376 1492 2248 2984 4496 5968 8992 11936 12083 16039 24166 32078 48332 64156 96664 104813 128312 193328 209626 256624 386656 419252 513248 838504 1677008 3354016 4506959 9013918 18027836 36055672 72111344 144222688