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18200224 = 257312621
BaseRepresentation
bin100010101101…
…1011010100000
31021020200000101
41011123122200
514124401344
61450032144
7310461610
oct105333240
937220011
1018200224
11a301109
126118654
133a03183
1425baa40
1518e79d4
hex115b6a0

18200224 has 48 divisors (see below), whose sum is σ = 42287616. Its totient is φ = 7545600.

The previous prime is 18200219. The next prime is 18200279. The reversal of 18200224 is 42200281.

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, 5634 + ... + 8254.

It is an arithmetic number, because the mean of its divisors is an integer number (880992).

Almost surely, 218200224 is an apocalyptic number.

18200224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143808).

18200224 is an abundant number, since it is smaller than the sum of its proper divisors (24087392).

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

18200224 is a wasteful number, since it uses less digits than its factorization.

18200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 18200224 is about 4266.1720546645. The cubic root of 18200224 is about 263.0422905676.

The spelling of 18200224 in words is "eighteen million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 2621 3472 5242 6944 10484 18347 20968 36694 41936 73388 81251 83872 146776 162502 293552 325004 568757 587104 650008 1137514 1300016 2275028 2600032 4550056 9100112 18200224