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224112444144 = 2434765997967
BaseRepresentation
bin1101000010111000100…
…1001000001011110000
3210102110210002202120020
43100232021020023300
512132440241203034
6250542243243440
722122500225661
oct3205611101360
9712423082506
10224112444144
11870556a5396
1237526979580
13181979c81c4
14abc062b368
155c6a277249
hex342e2482f0

224112444144 has 40 divisors (see below), whose sum is σ = 578975205120. Its totient is φ = 74701818048.

The previous prime is 224112444137. The next prime is 224112444161. The reversal of 224112444144 is 441444211422.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2238649 + ... + 2336615.

It is an arithmetic number, because the mean of its divisors is an integer number (14474380128).

Almost surely, 2224112444144 is an apocalyptic number.

224112444144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224112444144 is an abundant number, since it is smaller than the sum of its proper divisors (354862760976).

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

224112444144 is a wasteful number, since it uses less digits than its factorization.

224112444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145637 (or 145631 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

Adding to 224112444144 its reverse (441444211422), we get a palindrome (665556655566).

The spelling of 224112444144 in words is "two hundred twenty-four billion, one hundred twelve million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 47659 95318 97967 142977 190636 195934 285954 293901 381272 391868 571908 587802 762544 783736 1143816 1175604 1567472 2287632 2351208 4702416 4669009253 9338018506 14007027759 18676037012 28014055518 37352074024 56028111036 74704148048 112056222072 224112444144