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224011344144 = 24374591145219
BaseRepresentation
bin1101000010100000011…
…1011101100100010000
3210102012201212100102210
43100220013131210100
512132233401003034
6250524232312120
722120132002540
oct3205007354420
9712181770383
10224011344144
1187003622475
12374b8b42640
131817ca8ab13
14abb1031320
155c614568e9
hex34281dd910

224011344144 has 80 divisors (see below), whose sum is σ = 661515438080. Its totient is φ = 63988859520.

The previous prime is 224011344133. The next prime is 224011344173. The reversal of 224011344144 is 441443110422.

It is a happy number.

224011344144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469967 + ... + 1615185.

It is an arithmetic number, because the mean of its divisors is an integer number (8268942976).

Almost surely, 2224011344144 is an apocalyptic number.

224011344144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224011344144 is an abundant number, since it is smaller than the sum of its proper divisors (437504093936).

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

224011344144 is a wasteful number, since it uses less digits than its factorization.

224011344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149828 (or 149822 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 224011344144 its reverse (441443110422), we get a palindrome (665454454566).

The spelling of 224011344144 in words is "two hundred twenty-four billion, eleven million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 4591 9182 13773 18364 27546 32137 36728 55092 64274 73456 96411 110184 128548 145219 192822 220368 257096 290438 385644 435657 514192 580876 771288 871314 1016533 1161752 1542576 1742628 2033066 2323504 3049599 3485256 4066132 6099198 6970512 8132264 12198396 16264528 24396792 48793584 666700429 1333400858 2000101287 2666801716 4000202574 4666903003 5333603432 8000405148 9333806006 10667206864 14000709009 16000810296 18667612012 28001418018 32001620592 37335224024 56002836036 74670448048 112005672072 224011344144