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224720 = 245532
BaseRepresentation
bin110110110111010000
3102102020222
4312313100
524142340
64452212
71624106
oct666720
9372228
10224720
11143921
12aa068
137b392
145bc76
15468b5
hex36dd0

224720 has 30 divisors (see below), whose sum is σ = 532518. Its totient is φ = 88192.

The previous prime is 224717. The next prime is 224729. The reversal of 224720 is 27422.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 163216 = 248^2 + 404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4214 + ... + 4266.

2224720 is an apocalyptic number.

224720 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 224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266259).

224720 is an abundant number, since it is smaller than the sum of its proper divisors (307798).

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

224720 is an equidigital number, since it uses as much as digits as its factorization.

224720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 224720 is about 474.0464112300. The cubic root of 224720 is about 60.7967796078.

The spelling of 224720 in words is "two hundred twenty-four thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2809 4240 5618 11236 14045 22472 28090 44944 56180 112360 224720