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226404 = 223219331
BaseRepresentation
bin110111010001100100
3102111120100
4313101210
524221104
64504100
71632033
oct672144
9374510
10226404
11145112
12ab030
137c089
145c71a
1547139
hex37464

226404 has 36 divisors (see below), whose sum is σ = 604240. Its totient is φ = 71280.

The previous prime is 226397. The next prime is 226409. The reversal of 226404 is 404622.

226404 is a `hidden beast` number, since 22 + 640 + 4 = 666.

226404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (226409) by changing a digit.

226404 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 849.

2226404 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 226404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302120).

226404 is an abundant number, since it is smaller than the sum of its proper divisors (377836).

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

226404 is a wasteful number, since it uses less digits than its factorization.

226404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226404 is about 475.8192934298. The cubic root of 226404 is about 60.9482675253.

It can be divided in two parts, 226 and 404, that added together give a triangular number (630 = T35).

The spelling of 226404 in words is "two hundred twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 331 342 662 684 993 1324 1986 2979 3972 5958 6289 11916 12578 18867 25156 37734 56601 75468 113202 226404