Search a number
-
+
2203104 = 25353433
BaseRepresentation
bin1000011001110111100000
311010221002110
420121313200
51030444404
6115115320
724504021
oct10316740
94127073
102203104
111275252
128a2b40
135c1a17
14414c48
152d7b89
hex219de0

2203104 has 48 divisors (see below), whose sum is σ = 5905872. Its totient is φ = 718848.

The previous prime is 2203099. The next prime is 2203111. The reversal of 2203104 is 4013022.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2203104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4872 + ... + 5304.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

22203104 is an apocalyptic number.

2203104 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 2203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936).

2203104 is an abundant number, since it is smaller than the sum of its proper divisors (3702768).

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

2203104 is a wasteful number, since it uses less digits than its factorization.

2203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2203104 is about 1484.2856867867. The cubic root of 2203104 is about 130.1202831504.

Adding to 2203104 its reverse (4013022), we get a palindrome (6216126).

The spelling of 2203104 in words is "two million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 433 636 848 866 1272 1299 1696 1732 2544 2598 3464 5088 5196 6928 10392 13856 20784 22949 41568 45898 68847 91796 137694 183592 275388 367184 550776 734368 1101552 2203104