Search a number
-
+
226440 = 233251737
BaseRepresentation
bin110111010010001000
3102111121200
4313102020
524221230
64504200
71632114
oct672210
9374550
10226440
11145145
12ab060
137c0b6
145c744
1547160
hex37488

226440 has 96 divisors (see below), whose sum is σ = 800280. Its totient is φ = 55296.

The previous prime is 226433. The next prime is 226451. The reversal of 226440 is 44622.

226440 is a `hidden beast` number, since 22 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 1764 = 474^2 + 42^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 6138.

2226440 is an apocalyptic number.

226440 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 226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400140).

226440 is an abundant number, since it is smaller than the sum of its proper divisors (573840).

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

226440 is a wasteful number, since it uses less digits than its factorization.

226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 64 counting only the distinct ones).

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

The square root of 226440 is about 475.8571214136. The cubic root of 226440 is about 60.9514977706.

It can be divided in two parts, 2264 and 40, that added together give a square (2304 = 482).

The spelling of 226440 in words is "two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 37 40 45 51 60 68 72 74 85 90 102 111 120 136 148 153 170 180 185 204 222 255 296 306 333 340 360 370 408 444 510 555 612 629 666 680 740 765 888 1020 1110 1224 1258 1332 1480 1530 1665 1887 2040 2220 2516 2664 3060 3145 3330 3774 4440 5032 5661 6120 6290 6660 7548 9435 11322 12580 13320 15096 18870 22644 25160 28305 37740 45288 56610 75480 113220 226440