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144288228 = 22371739929
BaseRepresentation
bin10001001100110…
…10100111100100
3101001111121020110
420212122213210
5243414210403
622152333020
73401300250
oct1046324744
9331447213
10144288228
11744a0977
12403a4170
1323b7c166
141523d260
15ca02103
hex899a9e4

144288228 has 48 divisors (see below), whose sum is σ = 387031680. Its totient is φ = 40982784.

The previous prime is 144288211. The next prime is 144288233. The reversal of 144288228 is 822882441.

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, 9568 + ... + 19496.

It is an arithmetic number, because the mean of its divisors is an integer number (8063160).

Almost surely, 2144288228 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 144288228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193515840).

144288228 is an abundant number, since it is smaller than the sum of its proper divisors (242743452).

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

144288228 is a wasteful number, since it uses less digits than its factorization.

144288228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10114 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 144288228 is about 12012.0034965030. The cubic root of 144288228 is about 524.4977545968.

The spelling of 144288228 in words is "one hundred forty-four million, two hundred eighty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 4844 7266 9929 14532 19858 29787 39716 59574 69503 119148 139006 208509 278012 417018 834036 1717717 3435434 5153151 6870868 10306302 12024019 20612604 24048038 36072057 48096076 72144114 144288228