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224314314140 = 225715591027739
BaseRepresentation
bin1101000011101000101…
…1001100110110011100
3210102222211221211010202
43100322023030312130
512133343431023030
6251014254123032
722130501132150
oct3207213146634
9712884854122
10224314314140
11871496452a4
12375824b0478
13181ca7886c7
14abdd379060
155c7cd50745
hex343a2ccd9c

224314314140 has 48 divisors (see below), whose sum is σ = 538700198400. Its totient is φ = 76858358592.

The previous prime is 224314314137. The next prime is 224314314157. The reversal of 224314314140 is 41413413422.

224314314140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295610 + ... + 732129.

It is an arithmetic number, because the mean of its divisors is an integer number (11222920800).

Almost surely, 2224314314140 is an apocalyptic number.

224314314140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224314314140 is an abundant number, since it is smaller than the sum of its proper divisors (314385884260).

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

224314314140 is a wasteful number, since it uses less digits than its factorization.

224314314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029314 (or 1029312 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 224314314140 its reverse (41413413422), we get a palindrome (265727727562).

The spelling of 224314314140 in words is "two hundred twenty-four billion, three hundred fourteen million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1559 3118 6236 7795 10913 15590 21826 31180 43652 54565 109130 218260 1027739 2055478 4110956 5138695 7194173 10277390 14388346 20554780 28776692 35970865 71941730 143883460 1602245101 3204490202 6408980404 8011225505 11215715707 16022451010 22431431414 32044902020 44862862828 56078578535 112157157070 224314314140