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144223268 = 227415017
BaseRepresentation
bin10001001100010…
…10110000100100
3101001101022010112
420212022300210
5243410121033
622151112152
73400610000
oct1046126044
9331338115
10144223268
1174457092
1240372658
1323b58717
1415223700
15c9dcc48
hex898ac24

144223268 has 30 divisors (see below), whose sum is σ = 294457926. Its totient is φ = 61805856.

The previous prime is 144223249. The next prime is 144223273. The reversal of 144223268 is 862322441.

It can be written as a sum of positive squares in only one way, i.e., 114105124 + 30118144 = 10682^2 + 5488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2096 + ... + 17112.

Almost surely, 2144223268 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 144223268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147228963).

144223268 is an abundant number, since it is smaller than the sum of its proper divisors (150234658).

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

144223268 is an equidigital number, since it uses as much as digits as its factorization.

144223268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15049 (or 15026 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 144223268 is about 12009.2992301799. The cubic root of 144223268 is about 524.4190314074.

The spelling of 144223268 in words is "one hundred forty-four million, two hundred twenty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 15017 30034 60068 105119 210238 420476 735833 1471666 2943332 5150831 10301662 20603324 36055817 72111634 144223268