Search a number
-
+
226240 = 2657101
BaseRepresentation
bin110111001111000000
3102111100021
4313033000
524214430
64503224
71631410
oct671700
9374307
10226240
11144a83
12aab14
137bc91
145c640
154707a
hex373c0

226240 has 56 divisors (see below), whose sum is σ = 621792. Its totient is φ = 76800.

The previous prime is 226231. The next prime is 226241. The reversal of 226240 is 42622.

226240 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 (56).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2190 + ... + 2290.

2226240 is an apocalyptic number.

226240 is a gapful number since it is divisible by the number (20) 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 226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310896).

226240 is an abundant number, since it is smaller than the sum of its proper divisors (395552).

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

226240 is a wasteful number, since it uses less digits than its factorization.

226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 226240 is about 475.6469278782. The cubic root of 226240 is about 60.9335476288.

Adding to 226240 its reverse (42622), we get a palindrome (268862).

The spelling of 226240 in words is "two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 140 160 202 224 280 320 404 448 505 560 707 808 1010 1120 1414 1616 2020 2240 2828 3232 3535 4040 5656 6464 7070 8080 11312 14140 16160 22624 28280 32320 45248 56560 113120 226240