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2259404 = 2271931137
BaseRepresentation
bin1000100111100111001100
311020210022122
420213213030
51034300104
6120232112
725130120
oct10474714
94223278
102259404
111303584
1290b638
13611534
1442b580
152e96be
hex2279cc

2259404 has 48 divisors (see below), whose sum is σ = 4945920. Its totient is φ = 881280.

The previous prime is 2259403. The next prime is 2259407. The reversal of 2259404 is 4049522.

2259404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16424 + ... + 16560.

It is an arithmetic number, because the mean of its divisors is an integer number (103040).

22259404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472960).

2259404 is an abundant number, since it is smaller than the sum of its proper divisors (2686516).

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

2259404 is a wasteful number, since it uses less digits than its factorization.

2259404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2259404 is about 1503.1313981153. The cubic root of 2259404 is about 131.2193748652.

The spelling of 2259404 in words is "two million, two hundred fifty-nine thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 137 217 266 274 434 532 548 589 868 959 1178 1918 2356 2603 3836 4123 4247 5206 8246 8494 10412 16492 16988 18221 29729 36442 59458 72884 80693 118916 161386 322772 564851 1129702 2259404