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144455226 = 23233133767
BaseRepresentation
bin10001001110000…
…11011000111010
3101001211002022120
420213003120322
5243440031401
622200102110
73402564156
oct1047033072
9331732276
10144455226
11745a5393
1240464936
1323c0a186
1415284066
15ca36836
hex89c363a

144455226 has 32 divisors (see below), whose sum is σ = 311205888. Its totient is φ = 44571120.

The previous prime is 144455221. The next prime is 144455231. The reversal of 144455226 is 622554441.

It is an interprime number because it is at equal distance from previous prime (144455221) and next prime (144455231).

It is a super-2 number, since 2×1444552262 = 41734624637422152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144455221) by changing a digit.

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, 12606 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (9725184).

Almost surely, 2144455226 is an apocalyptic number.

144455226 is an abundant number, since it is smaller than the sum of its proper divisors (166750662).

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

144455226 is a wasteful number, since it uses less digits than its factorization.

144455226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33826.

The product of its digits is 38400, while the sum is 33.

The square root of 144455226 is about 12018.9527830007. The cubic root of 144455226 is about 524.7000263666.

The spelling of 144455226 in words is "one hundred forty-four million, four hundred fifty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 713 1426 2139 4278 33767 67534 101301 202602 776641 1046777 1553282 2093554 2329923 3140331 4659846 6280662 24075871 48151742 72227613 144455226