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144220122 = 23331101853
BaseRepresentation
bin10001001100010…
…01111111011010
3101001101010211000
420212021333122
5243410020442
622151045430
73400564554
oct1046117732
9331333730
10144220122
1174454792
1240370876
1323b57167
14152224d4
15c9dbd4c
hex8989fda

144220122 has 64 divisors (see below), whose sum is σ = 334494720. Its totient is φ = 46008000.

The previous prime is 144220081. The next prime is 144220123. The reversal of 144220122 is 221022441.

144220122 is a `hidden beast` number, since 1 + 442 + 201 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144220095 and 144220104.

It is not an unprimeable number, because it can be changed into a prime (144220123) 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, 168648 + ... + 169500.

It is an arithmetic number, because the mean of its divisors is an integer number (5226480).

Almost surely, 2144220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167247360).

144220122 is an abundant number, since it is smaller than the sum of its proper divisors (190274598).

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

144220122 is a wasteful number, since it uses less digits than its factorization.

144220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144220122 is about 12009.1682476348. The cubic root of 144220122 is about 524.4152182588.

Adding to 144220122 its reverse (221022441), we get a palindrome (365242563).

The spelling of 144220122 in words is "one hundred forty-four million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 101 186 202 279 303 558 606 837 853 909 1674 1706 1818 2559 2727 3131 5118 5454 6262 7677 9393 15354 18786 23031 26443 28179 46062 52886 56358 79329 84537 86153 158658 169074 172306 237987 258459 475974 516918 713961 775377 1427922 1550754 2326131 2670743 4652262 5341486 8012229 16024458 24036687 48073374 72110061 144220122