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226460 = 22513267
BaseRepresentation
bin110111010010011100
3102111122102
4313102130
524221320
64504232
71632143
oct672234
9374572
10226460
11145163
12ab078
137c100
145c75a
1547175
hex3749c

226460 has 36 divisors (see below), whose sum is σ = 522648. Its totient is φ = 82368.

The previous prime is 226453. The next prime is 226463. The reversal of 226460 is 64622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226460.

It is not an unprimeable number, because it can be changed into a prime (226463) by changing a digit.

226460 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, 3347 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (14518).

2226460 is an apocalyptic number.

226460 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 226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261324).

226460 is an abundant number, since it is smaller than the sum of its proper divisors (296188).

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

226460 is a wasteful number, since it uses less digits than its factorization.

226460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 226460 is about 475.8781356608. The cubic root of 226460 is about 60.9532922033.

It can be divided in two parts, 226 and 460, that added together give a palindrome (686).

The spelling of 226460 in words is "two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 169 260 268 335 338 670 676 845 871 1340 1690 1742 3380 3484 4355 8710 11323 17420 22646 45292 56615 113230 226460