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2104224 = 25323953
BaseRepresentation
bin1000000001101110100000
310221220110020
420001232200
51014313344
6113033440
723612523
oct10015640
93856406
102104224
111207a31
12855880
13588a05
143cabba
152b8719
hex201ba0

2104224 has 48 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 670208.

The previous prime is 2104217. The next prime is 2104229. The reversal of 2104224 is 4224012.

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

It is not an unprimeable number, because it can be changed into a prime (2104229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 2684.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

22104224 is an apocalyptic number.

2104224 is a gapful number since it is divisible by the number (24) 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 2104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884896).

2104224 is an abundant number, since it is smaller than the sum of its proper divisors (3665568).

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

2104224 is a wasteful number, since it uses less digits than its factorization.

2104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2104224 is about 1450.5943609431. The cubic root of 2104224 is about 128.1437187801.

Adding to 2104224 its reverse (4224012), we get a palindrome (6328236).

The spelling of 2104224 in words is "two million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 953 1104 1906 2208 2859 3812 5718 7624 11436 15248 21919 22872 30496 43838 45744 65757 87676 91488 131514 175352 263028 350704 526056 701408 1052112 2104224