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22404 = 2231867
BaseRepresentation
bin101011110000100
31010201210
411132010
51204104
6251420
7122214
oct53604
933653
1022404
1115918
1210b70
13a275
148244
156989
hex5784

22404 has 12 divisors (see below), whose sum is σ = 52304. Its totient is φ = 7464.

The previous prime is 22397. The next prime is 22409. The reversal of 22404 is 40422.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1867 = 22404 / (2 + 2 + 4 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 22404.

It is not an unprimeable number, because it can be changed into a prime (22409) 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 3 ways as a sum of consecutive naturals, for example, 922 + ... + 945.

222404 is an apocalyptic number.

It is an amenable number.

22404 is an abundant number, since it is smaller than the sum of its proper divisors (29900).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26152).

22404 is a wasteful number, since it uses less digits than its factorization.

22404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22404 is about 149.6796579365. The cubic root of 22404 is about 28.1908727567.

Adding to 22404 its reverse (40422), we get a palindrome (62826).

It can be divided in two parts, 22 and 404, that multiplied together give a palindrome (8888).

The spelling of 22404 in words is "twenty-two thousand, four hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 1867 3734 5601 7468 11202 22404