Search a number
-
+
224683104 = 2532818329
BaseRepresentation
bin11010110010001…
…10010001100000
3120122210002021110
431121012101200
5430004324404
634143423320
75365526532
oct1531062140
9518702243
10224683104
11105911818
12632b4b40
133771a1a9
1421ba9852
1514ad2b89
hexd646460

224683104 has 48 divisors (see below), whose sum is σ = 591963120. Its totient is φ = 74618880.

The previous prime is 224683091. The next prime is 224683141. The reversal of 224683104 is 401386422.

224683104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22812 + ... + 31140.

It is an arithmetic number, because the mean of its divisors is an integer number (12332565).

Almost surely, 2224683104 is an apocalyptic number.

224683104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224683104 is an abundant number, since it is smaller than the sum of its proper divisors (367280016).

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

224683104 is a wasteful number, since it uses less digits than its factorization.

224683104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 224683104 is about 14989.4330780053. The cubic root of 224683104 is about 607.9345208801.

The spelling of 224683104 in words is "two hundred twenty-four million, six hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 562 843 1124 1686 2248 3372 4496 6744 8329 8992 13488 16658 24987 26976 33316 49974 66632 99948 133264 199896 266528 399792 799584 2340449 4680898 7021347 9361796 14042694 18723592 28085388 37447184 56170776 74894368 112341552 224683104